Not really, a competent GM is determined by their ability to keep players getting along (generally, there are troublesome players that can mess things up), how well they keep RP's alive and/or how well the players like them. A GM isn't competent for how quickly an RP dies off without them. In fact it would take a pretty skilled GM to be able to set up an RP that was originally GM dependent but leave it in a state where if they were ever absent the RP would still function fine on it's own.

It would mean the GM was able to establish a system or loyalty among the players to keep things going a certain away even without their presence. And if say the GM leaves, the RP is dying but another player takes over and starts it again it's not suddenly that the first GM was bad but more likely the second GM was good enough to revive what was formerly thought to be a dying RP.