Sounds like you're going to check the box with a new battery but with most cars/trucks these days using side post batteries including my Itasca, it's a fairly straightforward process to pluck a battery out of a vehicle you have around and do a quick swap in the RV to see if it makes a difference. I'm not even sure what battery is supposed to be in my pickup truck, I put whatever works in there and swap batteries around between my cars and truck as needed. Batteries can develop a sudden loss in capacity, in this case it would be a sudden increase in impedance which an auto parts store load tester would easily reveal. But this isn't as common as a sudden problem with a cable or cable connection. In the course of replacing the battery you may very well inadvertently correct a bad terminal connection which of course resolves the problem but at the expense of an unneeded battery. I guess we'll have to wait and see how this story ends after the battery R&R.
Mark B.
Albuquerque, NM