I think a distinction should be made between playing moves which come from memories in your brain, and memorisation. You can form memories and train your neural networks and pattern recognizers through playing games, watching pro games, doing problems, reading books, reviewing games, or rote memorisation of joseki/tesuji dictionaries. I have done very little of the latter, but plenty of the others. It wouldn't surprise me if children in Go schools in Taiwan do rather more of the latter, as Shaddy said there's a cultural difference and rote learning hasn't been fashionable in the West, or England at least, for several decades.
Does Lee Sedol have a bigger mental database of go patterns than Magnus Carlsen does of chess patterns? Quite possibly, after all Go has a larger board with more possibilities, but chess has different pieces so there is a richer variety of positions in a smaller space. How did Lee build this mental database vs Magnus? I was under the impression that if you are a 2200 chess player and want to be a 2500 chess player you need to sit down with big books of openings and memorise them, is this true? (Of course he will also have built up a large amount of knowledge from playing, doing endgame problems and so on). Because these start from the initial board the resulting games are the same and so more boring, compared to Lee Sedol doing thousands of tsumegos (which I expect he did) but I expect he did less of memorising joseki let alone whole-board fuseki dictionaries.
I also think it would be a good idea to be more explicit about what sort of sequences and chunks of knowledge from memory we are talking about. For example, if I want to connect a stone on the 2nd line I know there are several ways:
$$B
$$ . . . . . . . .
$$ . . . O X . . .
$$ . . . O X . . .
$$ . . . O X . . .
$$ . . O X a b . .
$$ . . e d c f . .
$$ ---------------
- Click Here To Show Diagram Code
[go]$$B
$$ . . . . . . . .
$$ . . . O X . . .
$$ . . . O X . . .
$$ . . . O X . . .
$$ . . O X a b . .
$$ . . e d c f . .
$$ ---------------[/go]
These moves come form my brain's policy network, to take AlphaGo terminology. Is this memory, my trained pattern recognizer, experience, intuition, all of the above? Whatever we call it I wouldn't say I arrived at it through memorisation, but years of playing Go. I have come to understand pros and cons of the different choices (
a is the default solid and simple move,
b offers a ko to make more eyeshape and can me useful for reaching further to the right,
c leaves a peep but threatens a 1st line endgame ko,
d leaves a peep or 1st line sente, but maximizes eyespace so is sometimes best for living. (There's even
e sometimes for a ko or
f if a stone above
b). Deciding which of these pros and cons is most important in the different positions that arise in a game is not something that comes from memory but is the sort of analytical thinking that makes me enjoy Go (though there are some examples which feature it, e.g. a tripod or comb group). I don't think anyone ever taught me this as a structure blob of information to memorise, though I have taught it myself in lectures. Something like "the L group is dead" is a fact I have remembered, but the actual sequences to kill I have not, though being standard applications of life-and-death principles of hanes and then placements are moves I can generate in a few seconds.
Kirby's analogy to forming sentences is one I've come across before: iirc Matthew Macfadyen 6d said his vocabulary of Go shapes is probably as big as his vocabulary of English words. This was not built up by memorising a dictionary, but reading novels from masters of the language (aka pro games).