Okay, so I am going to answer my own poll for a change and say "False."
Now, that is not to say that I don't think DM Burnout is real or that I am immune. . . But rather that I don't think I have played often enough to get that burnout even when I played more regularly than I do now.
There have been times, however, that my attention has been drawn by other things leading to not being as prepared for the games I was running or not running games for some time - but I would not call that "burnout." For example, when I entered a PhD program in 2009, I moved to a new city, and I was just too busy with classes and teaching to work towards putting together a new group. Before that the game I was running was suffering a bit from a lack of my attention (finishing my masters, I got a new girlfriend, I was hunting for a new place in a new city from afar, etc. . ) and at the same time the group I was running for was so contentious and spent so much time arguing in and out of character that I was not having as much fun running as I had the game before it - but again, I don't call that burnout. I still enjoyed the "work" of play - it was just the specific conditions conspiring for me to not have the same amount of time to dedicate to the game and the response from players during the game was irritating me. Yet, I am pretty sure that if I had had a different group in that time and was not going through life changes my attitude towards running would have remained enthusiastic. It was not the DMing that was burning me out.
I guess I define DM Burnout as it is the DMing that is burning you out, not "I am burned out so DMing is harder" - but I may be splitting hairs.