In my experience, Non-PC Plod has hit the nail on the head, as it should be assumed that as a result of the failure of the engine to light-up, un-burnt fuel may have collected in the combustion chamber and gas generator case, thereby increasing the risk of a hot start during any subsequent start attempts.
Following an aborted engine start the RFM calls for a dry motoring run, post a drain period, before attempting another start does it not?
DRY MOTORING PROCEDURE
Following an aborted start shutdown, perform the following procedure allowing a 30 seconds fuel drain period before restarting. The procedure is used to clear internally trapped fuel and vapor: