In any event, my impression (and I think pros may view this in a similar way) is that the bot is not measuring territory at all, but rather is measuring the initiative.
If I may be allowed to quote myself, what lightvector says (and thank you for responding) seems more or less to be the same as the above when he says:
I like the phrasing "the bot prefers white by 5-6 points" a lot more than "white is 5-6 points ahead". The former again makes it clear that it's a preference by the bot, rather than an objectively accurate calculation of the value of a position.
If you have the initiative (and I don't mean sente) you have control of where the game is headed. If you prefer a position, your preference must normally be, in some way, because you likewise have control of the game.
A lot of people seem to have an instinctive negative reaction at quantifying things with a number
POSITIVE instinctive negative reaction, perleaase...
I think for many people this is in part because in common parlance, giving a number like this connotes more precision and certainty than there is
Surely the problem is with the people who have a
positive reaction to numbers and then over-interpret them or over-obsess about them. For starters, if you put a decimal point in an evaluation number you quote, you must be over-obsessing, yet I see decimal points here all the time. When active here, Bill Spight was a superior mathematician but knew when to squash nasty creepy-crawlies like decimals. I can recall a time when people used to say things like I'm 2.3 dan.
If you forget about AI, and instead took a friendly pro willing to patiently humor whatever questions you had for them, and you asked them which side they would prefer if we gave black an extra 2 points, 4 points, 7 points, etc... at some point they would probably switch from preferring white, to being uncertain, to preferring black.
This mirrors a famous story about Kobayashi Koichi, who was willing to switch sides, as I recall, if you gave just him one extra point.