I don't know, I guess if you use thicker glass so that it has weight that would help. Plus I think if the glass has a lock on it that makes the 2 sections more like one. I have not seen my BP messing with the doors. She likes to rearrange her lighting lol.
I would find an active burn thread/ Facebook group and ask. Sorry that I don't have a better answer. I have never owned a burn, just hold them.
I planned on using quarter inch or half inch glass but thanks for the help anyway