Earlier quoted context omitted.
Actually I've never seen a solid argument for why that's a problem. A similar issue exists in PGP, but again it's unclear what the actual problem is. Some (non-x509) PKIs can't do this anyway.
Two people have asked essentially the same thing here, I'll answer this one because it was at the top. I am going to deliberately use a far-fetched scenario rather than invoke specific technologies, because there is no benefit to learning more specific here than "Nope, a competent CA must never allow this to happen". Alice has public key A, and Bob has public key B, and everybody trusts Charlie the Certificate Agency…
For some reason, I never thought of DV certificates that way. I always took (Bob, A) to mean "I checked with the real Bob and he says it's fine to use key A in his name".
The former is, of course, the more useful guarantee.