@Sabremeister I would argue that there’s not even such a thing as “chainmail” or “scalemail,” either. “Mail” explicitly refers to armor made from interwoven metal rings, so calling it “chainmail” is redundant, and makes “scalemail” completely inaccurate. You’d just call it “mail” or “scale.”
Now you’re only half-right about “platemail.” Full rigid plate armor would certainly have just been called plate or harness for the whole set. Otherwise you’d just mention the individual pieces being worn if not as full harness, IE cuirass, etc., as appropriate. However outside Europe you did have “plated mail,” which was mail with integral metal plates woven into the armor.
Leather in of itself isn’t great for armor. Better than nothing? Sure, but so is a gambeson. ALL leather armor would be cuir bouilli simply because that’s what was required to make it actually useful as armor. Without hardening it the best you could make was a gambeson with an outer shell of leather rather than linen or wool.
You’re also forgetting about brigandine and coat/jack-of-plates, both featuring small metal or hardened leather plates like scale, only sandwiched between layers of fabric or leather and fixed in place by rivets (brigandine) or sewn to the lining (coat-of-plates). There’s a few surviving doublets that are also known to have been constructed with concealed plates sewn into the lining.
Finally, there’s splinted armor, which appears to have been used solely for limb protection (greaves and vambraces).
And if ANYONE comes in here talking about “Studded Leather” I WILL track you down and hurt you. 