Oh, I got your "point" - it's just stupid.
...replies ... are mutually incompatible...
You don't seem to know what "mutually incompatible" means.
For instance if "there's no explicit claim he's an authority" (ignore for the moment that an explicit claim of authority is *utterly* unnecessary for a line of reasoning to qualify as an "appeal to authority") and "...comment implies your [sic - "the" maybe?] reasoning is fallacious because you appeal to authority" were mutually incompatible, then it would it would be impossible for both to be true at the same time, and it's not.
Your third point is just plain false, and otherwise is in in no way incompatible with the others.
For your last point, hating someone for their success is in no way whatsoever incompatible with the object of hate making an implicit appeal to authority, it is perfectly possible for both situations to co-obtain.
Dictionary.com might help you: