Hi,
appreciated the concern!
Well, the curse of gibson’s broken headstock is well known ! It’s due to a terrible oversight on the structural design at the nut! (Like fender on other issues) they have never done anything to rectify it!
About the stand, in my over 40 years of musician’s experience the only instruments damaged I had were when using an instrument stand, go figure!
My own basses have a symmetric butt (!) that keep them very stable. Most of the time I’m in the back of the stage away from the action and maybe just because other are concern (like you are) about the “unstable” look of it, they pay more attention?.....
There are actually very good instrument stands (I have one my good friend Cartaya gave me as a present), but it’s bulky and heavy.
Anyhow... you guys stay safe!