Can you fulltime on $2000.00 per month

I spent a couple of weeks in and around Williams AZ and had no campsite fees at all. One ten dollar dump fee otherwise I used the no cost dump in GCNP. If you can do that (boondocking) and don't travel much, $2,000 per month can work IMO.

It definitely is possible. Debt free to start. Medicare and or VA healthcare.
We volunteer eight months a year, travel four, two in the Spring two in the Fall. Use our America Interagency Senior pass for camping during those travel periods. We also use free and cheap campground app for low price or free camping while traveling.
Volunteering is the way to success for us, no camping fees for eight months. Now some vol camp sites are no more than a gravel FHU site in the maintenance area but others might be a shaded spot FHU overlooking a lake that comes with a stipend of $10-15 per day worked.
Work required varies, we have done as little as 13 hrs per person for couples, for singles that was 26 hrs. Usually though a single works 3/4, 32 of a couples 48.
We have been fee takers, camphosts, roving interpreters, maintenance care, Visitors Center staff.
We have volunteered from Florida to Alaska, New Jersey to Oregon and more than a half dozen in between.
If you don't cross the country as much as we have your costs could be less.
Fulltime for 11 years.

It is definitely possible as we do it. Everything has to be paid off and we "volunteer camp host" most months of a year. We save up for our fuel budget between moves and have a cushion in case things go bad. Health insurance is our largest cost.

It cost me about the same to full-time as it did for me to live in the house.

Assuming you have health insurance thru another source and are otherwise debt free.

Sure. It will be a modest lifestyle. You will have to be careful with your spending and you will have to do most repairs/maintenance yourself.

Depends on a lot of factors, such as how one “camps”. Only camp at free areas, boon-dock? Campgrounds, even state or local parks can be expensive. How often do you move, how far do you go? (Fuel costs). How much do you eat and do you cook all you own food? Are you calling living in an RV the same as RVing full time?