How about people who claim to be open and inviting to new members but want to play the main characters thus regulating the playerbase as supporting cast? I've run into this a few times and I hate it.
I guess you could classify that as being restrictive, in the opposition of openness in a way. But there has to be more to it than that. Because basically what you described, is "the person who plays all the important characters that shape the plot, and the rest of the people are supporting that plot." which very often just means the GM themselves...
I mean, in this scenario, you haven't even mentioned the person being purposefully restrictive. Like you're doing a roleplay (that for some godawful reason is using already in universe characters (not just concepts) as a main focus instead of making their own.) like doing a LOTR roleplay, where they're playing Frodo, Sam and Sauron. Not exactly a creative individual, but is that alone really completely disregarding others freedom to join, create or roleplay etc?
(I'm now getting a feeling this may have to do with like D&D campaigning or something along those lines and I understand it from that perspective.)