I consider tanks which have center braces to have them for a reason. The taller a tanks is, the more important it is. I have tanks purchased within the last two years and used tanks which were likely 30+ years old when I bought them. The older tanks have thicker glass than the more recent ones. To me this means center braces in the more "modern" tanks are relatively more important than in older tanks.
We tend to think of a sheet of glass as being very rigid. My first tank, a 45 gal., disabused me of this notion. When it was set up the first time i locked across the from glass from one end, I noticed the glass bowed out- glass bends with internal pressure from the water wanted to be on the floor not in the box.
I recently discoveerd the center brace on one of my 33 longs had split. I am in the process of trying to repair itusing strong glue plus a patch to reinforce that spot.
Another consideration would be the lids. Those center braces are essential for holding the glass lids on ythos tanks which use multiple lids.
About the last thing I would want is for 250 gals. of water suddenly leaving a tank and being on the floor.