Cat fails due to misfires shocking the element to fracture, and subsequently the hneycomb isnt quite as free flowing as it once was, the fuel isnt too much of an issue in the short term.
It also puts a good deal of strain on the cambelt.
I guess there could be an electrical issue as theres not residual load as such from the starter motor cranking as the alternator starts to spin which could create a spike of some sort, rectifiers etc should prevent this happening anyway.
I'd personal just get it on charge for a while either with a stand alone charger or jump leads from a running car. If anything about that concerns you a solution is to disconnect the leads to the battery. Only time i've ever worried about ECU's is welding on a car, and even then its only for peace of mind rather than reason.