First off, the Pulsar generator you linked to is NOT a 4000 watt generator, no way, no how. Generators in the 3500 to 4000 watt range weigh in at around 100+ lbs. This is a 47 lb generator. Most likely they are calling it 4000 watt IF PAIRED WITH ANOTHER LIKE GENERATOR. This is about the size and weight of a 2000 to 2200 watt generator. Note that this is a 145cc motor. A Honda 2200 uses a 121cc motor. A Harbor Freight Predator 3500 (3000 continuous) has a 212cc motor.
With that out of the way, propane generators, use TWO regulators. The one at the end of the hose, at the tanks of the RV, whatever, is the main regulator, and inside is a second, very large diaphragm regulator (know as a demand regulator) that is, from what I can tell, designed to only allow LP to flow to the motor when the motor vacuum is drawing it, hence "demand".
My travel buddy has a Honda 2000i that he installed a Hutch Mountain LP conversion on and it runs just fine off the RV's external "BBQ grill" port but has the secondary regulator as an in the hose device right at the generator.
This is the Hutch Mountain setup.
Even my ONAN 2500LP generator built into my trailer has an internal regulator in addition to the 11 inch WC gas supply of the standard regulator at the tanks.
My limited experience, and research tells me it will run just fine off the RV's "BBQ grill" port
by removing the hose and its regulator and installing a hose connecting to the RV's quick disconnect, provided it is regulated gas pressure from the RV's main regulator.
As far as fuel consumption, I'll get to that when I locate my numbers, but you can be assured that the standard RV regulator you have, most likely about 150000 to 175000 BTU/hr is more than sufficient.
Charles