Yes, the claim is self-referential in the sense that it describes a certain attitude towards truth and how that attitude can affect one’s openness to new information. Specifically, the claim suggests that individuals who are not interested in truth because it conflicts with their existing beliefs are unlikely to change their minds even when presented with evidence or information that contradicts their views. This can create a self-reinforcing cycle where the individual becomes increasingly resistant to new ideas and perspectives.

> Specifically, the claim suggests that...

Incorrect.

The claim is: "People who are not interested in truth because it doesn't fit their world-view, will never be interested in the truth, no matter what medium it comes via."

It is not a suggestion, it does not say "it is unlikely, it is an unequivocal assertion of fact.

> This can create a self-reinforcing cycle where the individual becomes increasingly resistant to new ideas and perspectives.

That's my point (about the thinking underlying the comment in question).

It's interesting how humans self-privilege themselves when applying epistemology - other people's claims must be actually true, but for one's own claims "close enough" is typically an adequate bar. And it is typically only the other person who needs to improve their thinking.