Fair, those are the same words, but it's not the same meaning. The "I" in this term refers to two different people depending on who says it.

Are they really the same statement if they have two different meanings?

That's kind of the point, no? Context matters - and part of who is saying it is context.

Yes, but it's also very much not the kind of statement PG is talking about. It's not generally something someone would be concerned about the truth value of.