To say that there haven't been tent fires would be lying but what one member did, which I think is genius, is he put a smoke alarm in his tent.
Personally, I don't think you have anything to worry about but if it gives you piece of mind I would install one in the tent. You could pair it with a remote camera inside the tent. If you use an alarm that has wifi capabilities you can have it go off and check the camera to make sure it's not a false alarm if you're away. That set up is on my list as I tend to have to leave for long periods of time so remote monitoring for me is a must.