To illustrate the OP's point, here's a game I played this morning that I won with almost no reading. I've commented most moves to show what I was thinking. Although it would be a stretch to call what I was thinking "strategy," it certainly wasn't reading, and indeed this seems to be enough to win some games at this level.
Nonetheless, in order to improve, I think I need to put my tsumego practice to better use, and not to read more books about strategy.
(;GM[1]FF[4]CA[UTF-8]AP[CGoban:3]ST[2]
RU[Japanese]SZ[19]KM[0.50]TM[1200]OT[5x40 byo-yomi]
PW[catsoldier]PB[MHO]WR[6k]BR[7k]DT[2010-08-31]PC[The KGS Go Server at
http://www.gokgs.com/]C[catsoldier [6k\]: Hi, enjoy
MHO [7k\]: hi good game
]RE[W+Resign]
;B[pd]BL[1188.933]
;W[dp]WL[1190.276]
;B[pp]BL[1185.689]
;W[dc]WL[1186.818]C[Let's keep things balanced, territory-influence-wise.]
;B[df]BL[1181.075]
;W[gc]WL[1158.226]C[Perhaps a bit thin, but he's far away.
]
;B[cd]BL[1175.076]
;W[cc]WL[1145.904]C[Might as well strengthen.]
;B[bc]BL[1172.574]
;W[cj]WL[1119.324]C[Let him settle small.]
;B[be]BL[1168.052]
;W[nq]WL[1115.399]C[One of several big points. I don't have to worry about the top, do I?]
;B[qn]BL[1159.976]
;W[pr]WL[1111.949]C[Joseki looks comfortable.]
;B[qq]BL[1153.421]
;W[kq]WL[1103.009]
;B[qi]BL[1140.158]
;W[nc]WL[1016.576]C[This could be trouble if he pincers, but I kinda want to get a stone in on the right.]
;B[md]BL[1112.937]
;W[pf]WL[954.697]C[If I go into the corner, this can threaten to get out.]
;B[nd]BL[1105.172]
;W[qc]WL[942.864]C[Better get the corner before it's gone.]
;B[qd]BL[1088.984]
;W[pc]WL[936.119]
;B[oc]BL[1080.866]C[Reading for the first time. I live.]
;W[rd]WL[893.294]
;B[re]BL[1068.377]
;W[rc]WL[890.729]
;B[qe]BL[1063.638]
;W[ob]WL[889.214]
;B[mc]BL[1060.426]
;W[od]WL[885.562]
;B[oe]BL[1058.665]
;W[oc]WL[883.118]
;B[pe]BL[1055.468]
;W[pj]WL[822.879]C[Gotta do something to prevent a moyo.]
;B[pi]BL[1045.634]
;W[oj]WL[813.154]
;B[qj]BL[1043.49]
;W[qk]WL[808.643]
;B[rk]BL[1040.492]
;W[ql]WL[806.106]
;B[rl]BL[1035.879]
;W[qm]WL[800.381]
;B[rm]BL[1033.553]
;W[ol]WL[799.28]C[Good shape for the fun of it.]
;B[oi]BL[1031.129]
;W[pn]WL[790.596]
;B[qo]BL[1025.544]
;W[nj]WL[787.94]
;B[cn]BL[1021.665]
;W[co]WL[762.411]
;B[dn]BL[1016.184]
;W[fp]WL[756.706]C[Play high, black looks attackable.]
;B[hq]BL[1011.956]
;W[gq]WL[745.059]
;B[jp]BL[1008.926]
;W[hp]WL[734.813]C[Get some more support to attack those two stones on the left.]
;B[lp]BL[1006.557]
;W[lq]WL[712.373]
;B[mp]BL[1001.722]C[Close me in? I'll poke through the gap while it's still there.]
;W[kp]WL[707.146]
;B[np]BL[999.703]
;W[jo]WL[690.874]C[I have more stones here than he does.]
;B[ek]BL[993.871]
;W[cl]WL[555.637]C[Thought for two minutes. Didn't read anything.]
;B[ei]BL[978.365]
;W[el]WL[544.223]C[Thought for 9 seconds. I'm bustin outta here!]
;B[dk]BL[976.184]
;W[dl]WL[541.654]C[Poke through, see if I care. Say goodbye to those two stones.]
;B[ck]BL[974.638]
;W[bk]WL[537.74]C[Maybe I can even save c10?!]
;B[bl]BL[972.893]C[Oh, no. But I still get his two stones.]
;W[bm]WL[535.348]
;B[bj]BL[971.14]
;W[al]WL[533.425]
;B[ci]BL[969.812]
;W[fk]WL[530.017]C[Might as well get here first.]
;B[bi]BL[963.955]
;W[fn]WL[520.512]C[I'm keepin' 'em.]
;B[ic]BL[957.415]C[I've been neglectful. ]
;W[ge]WL[515.995]C[Might as well Jump!]
;B[ie]BL[953.262]
;W[gg]WL[444.162]C[And make sure I'm out.]
;B[mh]BL[948.591]
;W[kg]WL[425.3]C[Don't want that to get too big. Stay outside the sector line, and I should have somewhere to run to.]
;B[bb]BL[944.907]
;W[dd]WL[418.975]
;B[de]BL[941.134]
;W[ke]WL[406.236]C[I can still get out on the left, so let's bother him.]
;B[ld]BL[937.107]
;W[kd]WL[382.553]
;B[kc]BL[935.101]
;W[mf]WL[381.171]
;B[nf]BL[924.848]
;W[mg]WL[374.223]
;B[ng]BL[910.562]
;W[lh]WL[366.683]C[Make some eye shape. Oh no, he's gonna separate me at m11!]
;B[ig]BL[908.53]C[Or there.]
;W[hb]WL[342.035]C[Make this a bit safer in sente first.]
;B[ib]BL[898.019]
;W[mi]WL[324.137]C[Connect.]
;B[nh]BL[874.946]
;W[lo]WL[322.758]C[I've kinda got a moyo going down here. Let him cut at m12, I'll make him regret it.]
;B[li]BL[864.962]C[I hope.]
;W[ki]WL[312.483]
;B[lj]BL[861.184]
;W[kj]WL[297.16]
;B[mj]BL[840.148]
;W[ni]WL[290.66]
;B[ml]BL[787.277]
;W[mn]WL[268.026]C[Um. I think I want to connect out.]
;B[om]BL[780.303]
;W[on]WL[261.111]
;B[nm]BL[777.851]
;W[mm]WL[161.692]C[Thought for 1 1/2 minutes. Couldn't read it all out. (I tried) This seemed the most promising, cause if o10 dies, I might make some moyo on the outside.]
;B[nl]BL[743.141]
;W[pm]WL[39.15]C[Read a few variations starting with m9. In some I die. I'm gonna connect, so I might live longer and be able to do more damage somewhere.]
;B[nn]BL[736.602]
;W[no]WL[36.189]
;B[oo]BL[734.748]
;W[mo]WL[14.548]
;B[lk]BL[701.439]C[Drat, he's getting out, I'm dying and my moyo is shot. Wait... I see something... I can threaten to live and...]
;W[nk]WL[40]OW[5]C[Works. Whew. Almost looks as if I had planned it.]
;B[kk]BL[647.916]
;W[pk]WL[40]OW[5]C[Now he's gotta run.]
;B[jh]BL[645.56]
;W[kh]WL[40]OW[5]
;B[ik]BL[642.742]C[Wait a sec. Now I've gotta run.]
;W[ij]WL[40]OW[5]
;B[hk]BL[639.854]
;W[hj]WL[40]OW[5]
;B[gk]BL[629.416]
;W[gj]WL[40]OW[5]
;B[fj]BL[627.742]C[Reading. If I connect at f8, will he be able to separate g10 from g13? 'Fraid so.]
;W[hh]WL[40]OW[4]
;B[ff]BL[613.06]
;W[gf]WL[40]OW[4]
;B[fb]BL[603.994]C[Attack me will you? I have a bunch of sort of eyes.]
;W[fe]WL[40]OW[3]C[Ima pull this a bit together, then play f8]
;B[fl]BL[599.906]C[Oh well.]
;W[fc]WL[40]OW[3]C[Make some shape.]
;B[ha]BL[595.832]
;W[eb]WL[40]OW[3]
;B[gb]BL[586.788]
;W[cb]WL[40]OW[3]C[No longer worried]
;B[hc]BL[556.665]
;W[if]WL[40]OW[2]C[I get something here.]
;B[jj]BL[534.952]
;W[ji]WL[40]OW[2]
;B[jk]BL[532.663]
;W[ll]WL[40]OW[2]
;B[mk]BL[528.531]
;W[mq]WL[40]OW[2]
;B[op]BL[517.013]
;W[qr]WL[40]OW[2]C[You can't cut these off, can you?]
;B[em]BL[511.588]C[You want out??]
;W[fm]WL[40]OW[2]C[Show me what you got.]
;B[bn]BL[508.707]C[Oh. If I don't manage to keep those stones dead, point shift will be gigantic.]
;W[bo]WL[40]OW[2]C[Don't go nowhere.]
;B[an]BL[505.264]
;W[en]WL[40]OW[2]C[We're both running out of space, but I have an eye, I think I win.]
;B[dm]BL[503.606]C[Ack my eye is almost gone. ]
;W[ao]WL[40]OW[2]C[ If I protect it at c7 he ataris at a7.. Let's close the bottom hatch. Now I read out that I'm Ok.]
;B[cm]BL[443.792]C[Wow, someone who reads even less than I do.]
;W[bl]WL[40]OW[2]
;B[jf]BL[429.79]C[MHO [7k\]: gg
catsoldier [6k\]: thanks
catsoldier [6k\]: gg
])