Yes, but there are other ways to compromise TLS sessions. For example, if you're using session tickets, the ticket key could be in RAM. Or, the session master keys themselves could be leaked. Still, you're _much_ better off with Forward Secrecy -- in most cases keys ticket keys are rotated with server restarts; so are session master keys.

It does, assuming you don't have any way to extract the session keys from server RAM - which is kind of the problem here.

I was thinking of the scenario of old traffic being recorded by someone. Unless they also extracted the session key at that time, that traffic should be secure if PFC was enabled even if someone where to extract the server key now.