it any playoff series you lose should count against your total, you know since Jordan is getting the benefit of the doubt of not making it as much.
So overall playoff record for Lebron:
3 out of 11 for Lebron with 7 final appearances (not counting this season yet).
6 out of 13 for Michael with 6 final appearances
Also another good article about Lebron, which also praises Jordan.
http://fivethirtyeight.com/features/lebrons-finals-record-isnt-really-a-disappointment/