From "product" perspective there's no difference, but in program-compiler perspective (and e.g. raising bugs about compiler), Fuzilli isn't fuzzing.
Per Wikipedia > (then...) The program is then monitored for exceptions such as crashes, failing built-in code assertions, or potential memory leaks.
As for myself, I wouldn't use term fuzzing for integration testing such the one used by Fuzilla. I always caught it dynamic testing, scenario testing and in bigger cases property based tests. Fuzzing in my mind is reserved to a low-abstraction calls.
Might just be me, though.