I don't know if you're intentionally trolling, but I have been using version control for almost 20 years now and have never used the term check-in. All version control software that I've used in that time used the term commit.
Please stop.
> Or that I used the generic term rather than the git-specific term?
In the context of the discussion, generic term refers to "check in", and git-specific term refers to "commit" (which is the only possible alternative term to be using in that context). The obvious reading is that you're calling "commit" a git-specific term.
So I wouldn't say I'm putting words into your mouth, unless you were unaware that "commit" is the correct alternative term, which is of course a possibility that I didn't consider.