Rookie Rver :C here! Yes, taking the cover off will definitely improve, if not solve the problem. The generator needs to breath....breath a lot. I run mine all the time while traveling with no problem. When parked, if there is little to no wind is when the generator may automatically shut off. When running generator while parked in driveway with little to no wind I now plug in and place a fan near.
Darius....the "Rookie RVer"
U.S. Coast Guard Retired
"RVing....cause life's a trip"