Something can't be money without being fungible to at least some degree. There is no such thing as non-fungible money. Fungibility is a pre-requisite. Ideal money would be perfectly fungible.

I think you're confusing a medium of exchange with money. Money implies it's a MoE, but an MoE is not necessarily money.

Agree with the last part, but I've never heard "verifiability" as being required in the classic definition of money, although that makes sense to me (recognizeable maybe?)

I don't think we'll agree though, so not sure if there is any point in continuing. Agree to disagree, but appreciate the back and forth anyway.