We are your employees, but this doesn’t mean that we must obey you unconditionally.
You are much older than I am, but it doesn’t mean that you are right about everything.
I support this measure, but it doesn’t mean that I support you without reservation.
I like you, but this doesn’t mean that I’ll marry you.
Wife: Dear, we have been driving around aimlessly for hours. Don’t you think we should ask for directions?
Husband: Look honey, maybe we’ve been driving for a long time, but this doesn’t mean that we’re lost.
Wife: Really? Then what have we been doing all this time?
Husband: Well, we’re taking the scenic route.
Wife: Oh, I see. You just don’t want to admit that we’re lost. You know, sometimes you’re too proud.
Husband: OK, we’re lost, but this does not mean that you have to rub it in.