No, take it off. Unfortunately the home filter is not going to filter out small particles like smoke, just dust.
You do know that the AC is recirculating inside air, it is not taking in outside air?
The air inside should have less smoke than outside air in a house but in an RV it just depends for how much less.
I agree on an air purifier. A quality hepa or similar filter will pull pollution out.
These silly mask people wear also will NOT filter out smoke particles, no more than they will filter out tiny virus particles people are so afraid of.
You need a respirator with a canister made for those particles, and even then they have a useful life of only a few hours, maybe 8 max if I remember, and that was ones for working with harsh solvents/ fiberglass resins...
