the US-centric definition is effectively a subset of the general definition
Are you sure about that? Can you cite a real world comparative example with specifics (attitudes, views, perspective, key historical points relevant to this conversation)? No meaningless generalities.
It’s the outside-the-US meaning that anarchists would typically use ... when viewed from a leftist perspective, as they’re both capitalist with minimal regulation
If that's the case, are you saying that a liberal in Moldova, Oman and the US are all the same and "capitalist with minimal regulation" is all that they are?
And the points above are just the tip of the iceberg, the kindergarten-level stuff.
So here is another question, so when you say liberals in Oman and the US are a subset of the same thing, do anarchists have the final call of defining who qualifies as a liberal in Oman (or any other country)? Does self identification as liberal play any role or not? This is not a gotcha per se., well, maybe a little bit, I am referring to something specific :), but I am genuinely curious what you have to say on this.
I will say it again, this really is fascinating. There is a certain abstract beauty to the whole obsession with "libs" among American internet "leftists".