O.K, here goes nothing, and no doubt someone will correct me!
From what I understand, and hot start is when, on start, you get excessive T4.
I have experience of these on the 206, and the ones I have seen are from incorrect fuel modulation, or insufficient NG when cracking the throttle.
If you do not have enough speed, you do not have enough air passing through the engine, therefore giving you an incorrect fuel-air ratio. (Richer than normal)
The problem with this is that with the incorrect ratio the fuel burns hotter, and basically ends up frying the turbine blades (thermal shock) and possibly the combustion can.
I hope this is the kind of thing that you were looking for.