I think there are hi-gain profiles with fizz, many in the RE and less, but still quite a few, coming from vendors. And I think, at least in studio profiles, plenty of that fizz comes from the mike rather than from the amp profiled itself. But the truth is I also hear fizz in the recordings of "real" amps the users have provided,!
There's definitely "fizz" with real amps too. I like fizz at times, depending on what we mean by it. I don't see it as much as a "digital only thing", though we may often mean different things when using terms like "fizz".