I had a T2 flare up on me once. A bracket broke that made a coil short and somehow the board started burning before the fuse went. Lots of smoke under the PF with a melted coil and a bit of flame on the board. I caught it quickly, unplugged it and it went out on its own. It may well have gone out had I left it alone and not turned the power off too as the fuse was gone by that stage. I knew the bracket was damaged so my fault and lesson learnt.
Whenever I get a new game now (from NIB to new to me) or do a shop I always inspect everything for shorts and make a point out of leaving it on for quite a while to make sure nothing strange happens. I'm around it at first but then tend to go away more as I like to leave it on for a solid half day a few times. They are meant to be on for long periods of time and if they are working properly they should be fine.
New games are not immune to problems and I would rather try and flush any potential problems out rather than not leaving it on for very long.