If the top of your stand is true, AND IT IS BRACED, and you attach your ply, and sink the screw heads, and your front to back and side to side and diagonal checks with a level show that the top of your stand is now perfect, then it would be fine to just place your acrylic tank on top without styrofoam. And your acrylic tank would not bow, on the bottom anyway.
Even if you did put styrofoam on that would still be ok, AS LONG AS THE TOP OF YOUR STAND IS BRACED. If the stand is braced then the ply can't bow and neither will the bottom of your acrylic tank. If you are worried about the bottom of your tank bowing into the soft styrofoam how far can it realistically go. I think it would hardly be measurable.
As I said, the critical part is the bracing on the top of your stand. No bracing, then the ply can bow over time and the base of your acrylic tank will follow and then your tank seems would be under pressure.