I ride the 54mm 92d "soft d's" and they certainly are heavier than the 99s or 101s other people ride. Even just picking them up in the shop in your hand, you can feel the difference. I haven't tried the 80hd ones.
I think the only way the weight of your board would affect you in the air would be: the board's mass is greater, so it will have more inertia, so small movements you might not realize you are making don't impact the motion of the board as much as they would a lighter board. But its better to just put those sort of thoughts out of your mind because you'll end up overanalyzing everything, and in reality all tricks are possible on any spot on any board... u just need to make it happen