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Am not sure about this - would Opener bid differently with the ♦K instead of the ♠K?
If he had Axx Qx AKx AJTxx, then no, the auction probably would be the same as it is here. (Now, if opener's diamonds were KQx or something, then he would have bid 3D rather than 3C, to show a holding that would be more useful in 3NT than in 4M if partner is short in diamonds, and we'd play 3NT.)
If the auction
wasn't the same as it is here, it would result in opener bidding 4S over 2D: maximum, all values working (3S, 2H, pure holdings in both minors.) That would have been the system bid after 1NT-2D-2H-2S (responder showing 5-5 invitational) but here opener should avoid blasting to 4S because he is aware of the risk it may be a 4-3 fit.
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Even then, it seems more logical to me to play in our AJxxx suit (opposite 2) rather than JTxx (opposite 3).
Possibly so. It comes down to responder has to pick a game of his choice opposite 17 or 18 and 3-2 in the majors, and a hint that partner has medium club cards but aces and spaces in diamonds. My responder won't know anything about the suit quality in either spades or hearts.
Here again it's a spot where responder's instinctive urge is to rush to 3NT, but I'm hoping opener's choice of 3C-vs-3D will help responder choose sensibly. I don't have any firm conviction what responder really would do, as far as spades vs. hearts. Straube can score it as whichever of 4H or 4S he thinks is fairer. I lean toward 4S as the more likely table result, in large part because opener might have dragged us there himself bidding as if partner had to be 5-5.