There was a discussion with BADFOOT in game today about dual-axis randomization.
Now.
The. Following. Can. Be. Terrible.
That said, with limited options, asymmetric restrictions could be pretty cool and challenging. (IE. Team A can't use Pyras, and Team B can't use gat-flak).
Plus actual randomization (possibly with real dice or something like a oxidizing-radiation-randomizer) might be pretty interesting. With a set list of predetermined restrictions.
A mad-libs like situtation (only harpoons, only goldfish) might not work so well.
I'm not advocating these ideas per say, but I think they're an interesting jumping off point for more discussion about this sort of thing!