The confusing thing is that this goal nonetheless appeared in some original marketing and explanations about the web PKI from the late 1990s when it was first introduced. There was another smaller burst of this when people were arguing over the formalization of DV certificates and of Google's UI changes that stopped treating EV specially (as some people found both of those changes objectionable).
I agree with you that the goal of authenticating entities was impractical, but the mental association and expectation around it still hasn't been completely dispelled. (I think I saw some form of this when doing support on the Let's Encrypt Community Forum, as people would sometimes complain that a site shouldn't have been allowed to have a certificate, either because it wasn't the organization they expected, or because it was malicious somehow.)
The problem as I see it is: there simply isn't one coherent global notion of what entity authentication means. It's situational.