I would guess we would need a quantum resistant hash function and quantum resistant elliptic curve. So it probably won't choose any one algo. Instead, it would likely adopt a hybrid approach that uses multiple post-quantum algorithms in order to be more secure.
And should we trust anything vetted by the NIST? https://en.wikipedia.org/wiki/Dual_EC_DRBG
lol
this situation in bitcoin will be a long way to go. though there are some coins that are claiming to be quantum-resistant, we don't know the authenticity of their claim yet. and when it comes to bitcoin, the question is indeed not yet relevant. we may talk about this again once quantum computers are already out in the market. but for now, it seems too early to predict which one will bitcoin use because we don't know yet the future of quantum computers and how it will affect with bitcoin tech.