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I agree that it is important where the opponent is. If he would huddle with
all its pieces in one corner, (and there is no need to defend the back rank
in the other corner against promotions), the usefulness of being in the
center deminishes. There are some default assumptions here, and one of
those is that the opponent's pieces will be stretched out along the entire
back rank on his side of the board. In the end-game that assumption might
fail. If both sides only have Pawns on the King side (say on f-, g-, and
h-file) plus Knights and Bishops, there is absolutely no point being in the
center.

I would think g4 indeed a better square for a Wazir than e2, because it is
closer to g7, and not further from b7. This is only from the point of view
of attacking, though; A Wazir can also be useful as a defender, and that
might be a reason to keep it on g2 (with Kg1, and Pawns on f2, g3, h2). But
that pertains to King Safety, which is yet another, independent evaluation
term.