You might not be connecting the dots here. The concern or even attention to "self-aggrandizement" is itself a form of social status policing. That's literally what the term means.
Maybe we have read "social status policing" to mean completely different things. To me, that suggests caring a lot about status, and worrying a lot about people laying claim to more status than what they're due. My issue here is with people turning status, either deserved or otherwise, into a bigger thing than it is.
Social status is only very rarely material to any given conversation, so I do care when people feel the need to bring it up, and when they feel the need to give themselves pompous titles, because they're signalling to me that they do care about status, and they're going to make it an issue in our dealings.
Aren't you also signalling that you care a lot about status by complaining about it? Usually when people actually don't care about something, they just make note of the fact that somebody else does and slightly alter their dealings with that person to get a more favorable outcome. An argument isn't a favorable outcome; negotiating more of something you do care about (like equity, or influence, or effort on their part) in exchange for something they care about (like titles) is.
Social status is only very rarely material to any given conversation, so I do care when people feel the need to bring it up, and when they feel the need to give themselves pompous titles, because they're signalling to me that they do care about status, and they're going to make it an issue in our dealings.