The issue here is probably a concern about interraction between nitrocellulose and the plastic pads on the stand.
Most guitars now have polyurethane finishes. I don't know for sure about yours.
You could use some soft cloth to cover the pads.
Another thing to consider:
I've got a really sturdy 3-axe stand that I bought 20 years ago, collecting dust. I don't use it anymore, because its just scary easy to tip over. If the stand you're considering supports the guitars from the bottom with three large fork-shaped things, I can guarantee you it will be very unstable. The first time you brush against it on stage or in a small room, it will dump your guitars on the floor!
Look for the kind of stand that hangs each guitar from the head, where the neck widens out at the nut. The back of each guitar rests against a pad. This design is harder to find, because it costs more to make (its a lot taller, so it uses almost twice as much tubing to build one) and it doesn't look as cool, so I don't think anyone makes them any more. Its worth the effort to find one, though.