I think there may be cross-talk here related to who's doing the verifying too. I think the parent is assuming "verification" would imply that a 3rd party could verify the software in question. AFAIUI it's currently nowhere near practical for a 3rd party to verify closed-source software of any non-trivial size. (Correct me, if I'm wrong, obviously.)
It's still a research problem even for open-source unless the software is built with formal verification in mind (for example in Coq or Agda), but at least there's an existence proof that it's possible to do for non-trivial software (see CompCert C). That was still a multi-year effort and it's still a somewhat (architecturally) simple program as compilers tend to be.
I do agree that 'who is verifying' is a valid way of looking at it too.
Regardless, it's pretty clear that tptacek means formal verification.
If you are using a casual, inspection = verification definition then I think most would agree that it is true that open source is easier to inspect.
But "verified" software often means formal mathematical verification, and that is orthogonal to if the source is open.