I have a 23 foot Class C rv with an 11 gallon propane tank mounted under the floor. That will run my propane/dc/ac fridge for a 3 month trip. I have a 3 burner propane cooktop inside that is very lightly used, most of my cooking is outside using small 1 lb propane bottles that I refill prior to each trip to avoid the extreme markups of these small propane bottles. I fill and pack 6-10 of them in a storage compartment on the outside of my rig, and those usually last the 3 month winter season in Florida. The adapter to refill the 1 lb bottles is small, and if you had a larger propane storage tank on your rig you could refill those for cooking while on the road.I do not know how powerful of a cooker you require but your questions have made me wonder if induction cooking on my boat would be the way to go. When out at anchor I cook mostly on deck with grill but in marina can't use open flame device on deck.
I have found some low powered cookers (800 watt and down) but don't know how they would perform. As they are inexpensive I am thinking of buying one to try at home.
Note that you must invert the larger tank and have the smaller tanks ice cold to properly fill the smaller tanks using liquid propane (inverted tank) from your fill tank. If the small tanks are not cold you can still fill and use them, but the fill may end up being 8 ounces instead of 16. Still a usable solution.
I also have a small table top induction cooktop that I use outdoors when connected to shore power and it draws 1800w and works very well. I also carry a small camping style white gas cook top that can be used when needed. (Rarely in my use case)
So the poster here could have all three options, (induction, propane, and white gas) and use each when desired. The weight and space requirements for all three options are small. Just my 2 cents. I also carry a small portable "propane grill" that uses the 1 lb bottles, and that is a fourth cooking appliance.
Best of luck in your journeys