Our van has a 6k DC air conditioning uses 50a at full tilt water cooling should double the efficiency. 300 amp lithium battery bank can run it for 3 to 4 days normally
When you're working with a DC power source, DC air conditioning is going to be far more efficient for sure.
Not sure how much more efficient a water based heat exchange system makes it, or not - there's extra consumption overhead of course with the need for water pumps and such of course.
As for your DC setup, if your AC uses 50A when running how does it run for 3-4 days on only 300ah? I have a 280AH Lifepo4 in our camper and we have a 1250BTU AC (just for spot cooling, that bit of cool air blowing directly on you in bed makes a huge difference) and after an 8 hour sleep I've used about 75% of the battery. Yeah, we're running it through an inverter so there's losses there, but still, even without that we might get 12-15 hours tops I'd expect, and that's only a 1250BTU AC, not 6KBTU.