“Rambam uses the word Taalis -so this word wasn’t made up recently by some Koifer. So there is no comparison to something like “Dayog”. “
Tallis was not a Hebrew word (at least not in the Tanakh) and became incorporated at some point. Other words came into Hebrew like Sanhedrin, Gematria, and other Greek words. Do you say that since the Ancient Greeks were depraved pagans that we cannot use their words?
Dayag reminds me of Dayan. A dayag works with dag and a dayan works with din. Is it the exact same rule? I don’t think so, but close enough. Could it have been better? Maybe, but that’s a moot point now.
“So you’re agreeing with me that it wasn’t a good example because it’s slang? You are trying to make it sound like I’m wrong somehow. “
It seems to me that you want to harshly criticize, which is based on Sinat Chinam, and that is wrong. I’m just trying to dan l’chaf zechut.