Probably not necessary but, If you want some piece of mind so you can sleep better, you could get a piece of plywood cut to the exact size or a bit larger. Then paint it black to match.
I'm basing my opinion on the overhang built into the top of the stand, the size of the plastic tank rim vs the size of the actual glass. Looks ok to me. The glass is 100% supported from what I can see.
If you end up with 75 gallons of water on the floor, please let us know! LOL!