Probably not. It's been ~13 years when Snowden said what the NSA is doing is going around the encryption by hacking endpoints. Post quantum cryptography doesn't change any of that. You can still lift TLS keys with exploits for transparent MITM. I'd imagine it's much better ROI to look for vulnerabilities with Mythos, than to attack the algorithms.
> is going around the encryption by hacking endpoints
Because they weren't (supposedly) able to break the encryption
> than to attack the algorithms
You have an opportunity to introduce new, broken, algorithms; they exploited it with DES, tried to exploit it with ECC, why wouldn't they try it with post-quantum (which they've kind of been pushing)?