> They don't specify that it may not be you that records it. They are consenting.

My - not a lawyer - understanding of consent laws is they're tied somewhat to privacy expectation laws.

If I tell you I am recording you, your expectation of privacy is lessened. But mine isn't, necessarily, because I control the recording and its potential dissemination.

They aren't telling you that they are recording. The exact phrasing is normally, "This call may be recorded", not "X Corp may be recording this call"

The former can be interpreted as explicit consent to record the call, after all they provided the consent, but you actually haven't.

> They aren't telling you that they are recording

Right but that's less important than telling the other party that anyone might be recorded. Because, again, spirit of the law, it loosens expectations of privacy.

Given there are only two parties on the call, only one needs their consent solicited anyway.