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My theory would be that the play is +EV because if I can get a bigger pot now, before the flop, the betting on all the later streets will be bigger. I'm not involved in these streets at all if I miss my flop, but if I hit it (i.e flop a set), the comparatively bigger bets I'm winning on these streets make up for that extra 1 big blind I'm losing on missed flops.
Basically, you always hear that you don't mind a lot of opponents when you have a drawing hand, because you're playing for pot odds and implied odds....this minraise technique, while not altering pot odds, may increase implied odds disproportionally in your favor, enough so to justify 'building a pot you don't expect to win'.
I think the drawback would be, as was pointed out, you become readable if you only minraise drawing hands, so you have to minraise premium hands once in a while also.
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