If we're taking that as the definition of "gatekeeping", then I don't see how that can be achieved in the contexts of gaming communities, where the term is usually seen as a negative thing. How can communities tell who has an "invite" or not? How can they "deny entry" to someone during the "filtering" process?Gatekeeping is fundamentally a process of filtering what comes in, not throwing out trash once it has already been let in.
Thus appropriate to this, a gated property takes as basic concept that everyone else (without an invite) is to be excluded, with an implicit assumption that they are undesirable or malign. This is obviously different from a community that welcomes people in, but kicks them out once they prove themselves to be undesirable or malign.
It seems like this is impossible, so , I don't think your definition is correct as it usually applies to gaming communities. In essence, nobody is doing what you describe, because what you describe is impossible in the context of an online game or community that anybody can join at any time.
For those reasons, I don't see a difference between what furries do, and what gaming communities are accused of doing.
Whether you meet them at the door and remove them, if that were possible, or remove them later, what's the difference?
If you let in a Nazi, and only remove him once he does harm, is that better than never letting in the Nazi in the first place?