A categorization that contains all but one language (Assembler) is not a useful categorization.

Besides, why die on this hill? So everybody suddenly concedes that, fine, C is a "high level language". Is anybody's opinions going to be changed? No.

So, how about we stick to useful definitions, and agree that in modern times C is a low-level language, and, likewise, understand that agreeing to that isn't going to change one letter of the C specification or remove one line of C's libraries or anything else?

There's no gain to be had by anyone in this silly line of argument.