'Hot' turn arounds are used quite often to save cycles in various turbines, ( Van's/PAC's's's etc for meat bombing and even RPT). No problem as long as the SLF is kept from the spinny point end.
Ixixly, yes its heat cycles that do the damage, although thats not exclusive to turbines...pistons dont do so well starting and stopping 10 times a day. GTSIO-520 engines spring to mind...