For me that is akin to asking if I am 'blissful' about remembering to floss. Diabetes isn't a life killer, it isn't something that should necessarily be at the forefront of every waking moment. For me learning to cycle diabetes responsibilities in the background has helped beat any kind of burn out. I went through one a few years back while I was still in college, but I realized that my best chance at survival was to learn to keep all of the mess in the background. So I do.
Testing my blood sugar, changing out infusion sets, going to doctors appointments, etc is just another part of my life. These are Lauren-maintance requirements much like brushing my teeth, getting my hair cut, clipping my nails and so on and so forth. I keep in mind that I am a person with many interests and hobbies first and a diabetic second.
That was my saving grace. Not everyone can transition into that nor does that line of thought help everyone. There are lots of ways to cope with diabetes and with burn out. Therapy, art, more control over treatment (the pump and before that MDI helped me with that in spades), classes, etc could help. You just have to figure out what you need to be happy. Make a list!