Shouldn't minor revisions of HTTP interop anyways? I.e. a HTTP/1.2 server should be able to talk with a HTTP/1.1 client even if they use different minor version

Shouldn't minor revisions of HTTP interop anyways? I.e. a HTTP/1.2 server should be able to talk with a HTTP/1.1 client even if they use different minor versions in their protocol string? So, it "SHOULDN'T" hurt to bump the version to 1.2, plus it would make it easier to identify up to date spec compliance?