I noted that my alternator would fail after high loads. Example: you drive down the road and your wife is making drip coffee. You see your voltage drop from 14.3 to 12.8 and very slowly recover when the pot is turned off. Or run the toaster/microwave. You have to remember your alternator is also charging the house batteries and thereby the inverter so keep that in mind when running down the road.
Also, I thought starting the generator would help in these circumstances. However, when you have the coach engine running and start the generator the load is put on the alternator creating high load; especially in cold weather when it takes much more current to start. I have gotten into the habit of starting the generator on shore power then starting the engine and then shutting the generator off when the coffee is hot, toast is toasted, and the microwave is off.