Bigger is always betterThing is you have parasitic losses in the cables as well as the batteries. They don't convert 100% of the incoming current to charge. There is loss there as well.
I was incorrect with one thing. I thought I remembered Noco putting a limit on the charger:
View attachment 251320
Looks like that is just for charging, maintaining they seem to think it would be ok. Still, with temps dropping he's probably better off with a bit bigger unit.
I am also not taking my own advice. I have a Genius1 in the garage on a Marine battery and a backup group 35 in parallel. Although there's nothing hooked to them, the cables are short, etc. Plus they're not mission critical, I'm not depending on them to crank anything.

There is also a duty cycle they likely don't publish - but its unlikely a 1A Noco would be allowed to push 1A continuous. Probably throttles back based on internal heat.
Still, the truck is parked and not used, and once asleep shouldn't pull more than 100mA, probably much less, plus the parasitic drain of the battery in general. I don't think not enough Amps is his problem in this case.