The trouble with all of these algorithms is their origin. They've all been selected and vetted by NIST. NIST is very likely to promote as standards algorithms

The trouble with all of these algorithms is their origin. They've all been selected and vetted by NIST. NIST is very likely to promote as standards algorithms which they already know vulnerabilities for, since that would be useful for the work of their partner agencies (like NSA) which all oppose actually-effective encryption. So, no, they probably won't "save you" from quantum threats. They'll look like they do, and they will probably save you from non-governmental threat actors for a pretty long time.