I wonder how someone can detect if one of mnemonic recovery words (not one of the words but the whole, you label this seedphrase; I don't really like to call the recovery words a ...phrase, it's a bit too ambiguous for my taste) or mnemonic passphrase (the optional ...) has been compromised, except when you accidently enter them on an online device when that wasn't supposed to happen.
If both are compromised, your coins likely are gone already. You may be lucky, though, and quick action is advisable.
I agree with you, i also don't like to refer to it that way, but I end up not remembering at the time of posting and several names come up, i think the best one that fits in this case is mnemonic phrase, mnemonic code (or just mnemonic) or simply wallet backup, but most people simply call it "seed", although the words in the mnemonic are just the encoding of the real seed (which is in hex format).