The article does not complain about notation. It describes how the different fields of mathematics are so deep and so abstract that it’s hard to understand them as a professional mathematician in a different field. That’s a hard problem worthy of discussion, but as the article says, it’s not as much a problem of notation or of explanations, rather than it’s just intrinsically difficult and complex because these are abstract and deep fields.
It’s not gatekeeping. It’s just hard.
I was calling you a gatekeeper rather than notation, but feel free to keep stuffing that man with your straw.
The sentence I called out, independent of the article's content: "You expect the players of the game to learn the rules before they play."
Is you explicitly stating your goal is gatekeeping.