I get it now.
I can be at 13.4V all day in the truck and it's not going to dent my 4 GC2 US Battery bank. Bulk and absorption charge for these batteries is spec'd at 14.7V to final 97% of capacity and then drops to 13.0 for the float. I'm really sending a trickle back there to batteries down 30-40% hence net zero on the road.
That explains the amp drop too. I am sending amps back there but not with enough voltage to overcome battery resistance. So it pushes in 5A for but only for one minute(ish) and then normalizes because of the lack of voltage.
I'm a off-roader so I'm brakes, suspension, load, tranny temp, gear oil (reasonably) smart but electricity dumb. Bottom line today is that I'll have to A. keep hauling the generator just in case or B.) mate the setup with a 3-4 stage solar charger that gets to 15V.
Thanks all.