The Genset should do everything shore power does,,, HOWEVER on some rigs (mine for example) the genset has two output breakers.. If one of them is tripped then one of my battery banks will not be charged by the generator.
Some background.. My "House" is a 50 amp house. the generator has two 30 amp breakers on it.. I have added a second house battery system (Different devices) and one converter is on each leg.
Many 30 amp houses (Those with 2 Air Conditioners and possible those with just one) also have 2 breakers on the genset.. One (the smaller one) just runs one air conditioner, nothing else. And that one may be in line even if on shore power
Home is where I park it!