I didn't know fuzzers did that, so I'd guess that others would miss the nuance there too; and it's a rather large part of property based testing
This is a definition that aims to be more "categorically correct" without providing a lot of intuitive explanatory power. (E.g. A monad is a monoid in the category of endofunctors). Maybe that's ok in that was the aim and PBT can't be reduced to a single sentence like a lot of abstract concepts
It also assumes a well-defined definition of a fuzzer
I was also surprised to not see the word 'invariants' mentioned once. Maybe that's very close to "property", but property has other connotations so it still seems useful