But moderate isn't an absolute description of an ideology as we've established, it is relative to an ideology. In other words, it's meaning depends on ideology.

I'm not even sure what the point you're trying to make is at this point. You've agreed that "moderate" is a term relative to ideology already, so what even is it you're arguing now? If it's relative to ideology, of course it's ideological, because your definition of "moderate" will change based on ideology.

> But moderate isn't an absolute description of an ideology as we've established

Right, that was my point from the start. "moderate" isn't an ideology by itself. When we are in a US context (irrespective of whether someone is a US progressive or a US conservative), "moderate" refers to the propensity to hew somewhat closely to the US status quo. On the other hand, you've argued that "moderate" depends on a person's ideology, and people with normative American ideologies can't talk about Saudi moderates because "moderate" would be relative to normative American ideology--of course this isn't true because I'm an American and I just referenced Saudi moderate ideologies. "moderate" doesn't depend on my ideology or normative American ideologies, but the context which I've explicitly designated as "Saudi" but it may also be implicit.

> You've agreed that "moderate" is a term relative to ideology already, so what even is it you're arguing now?

Hah, "moderate is a relative term" was my position from the start, you've changed tack from arguing that the definition of moderate ("occupying any mainstream position avoiding extreme views and major social change") is inherently ideological--it's not. It's an adjective which describes ideologies, and it's relative to some context (e.g., US politics, European politics, etc), but the definition doesn't vary based on anyone's ideology contra your claim.