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Just to be clear, I was nearly 100% sure Button was betting the turn and >80% BB would call. Does that change anything?

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Not as much as you think. you lose the chance to get more bets in on flop/turn/river because you have just told everyone you have a massive hand.

If you 3-bet the flop you increase the size of the pot and tie more players down to the showdown. Using your play you will gain 2BB/player on the turn and no more on the flop.

If you 3-bet the flop it may get capped. You gain 1/2 BB on the flop and at LEAST 1BB / player on the turn.

You also tell everyone you have a monster by c/ring the turn and they are less likely to pay you off with extra bets/raises.

True