> (by extension, slang, Internet) To limit another party's participation in a collective identity or activity, usually due to undue pettiness, resentment, or overprotectiveness.
But in the (today) rarer, less metaphorical sense... It's not that either? What is Twitter guarding access to? It's not, we're talking about Twitter itself.
From a straight up grammatical perspective, I'm not sure what you're saying makes sense, or really what you're trying to say. What you're saying "gatekeeper" means tracks just fine. But I'm getting thrown for a loop with "gatekeeping" because that's either a verb (e.g. "The dog is gatekeeping.") or an adjective (e.g. "The gatekeeping dog..."), but you're giving it a meaning that only works for a noun ("someone who doesn't have actual power but..."). Basically, I don't understand what you're trying to say, but what you're saying seems like something I'd like to understand.
You might be more used to the more informal social media use of the word meaning busybodies that involve themselves unasked to police people's behaviors to their own arbitrary standards; this is not it.