My Concern would be Generator Legs (The chance it would grow legs and walk off)
When I park at Wal-Marts I often find myself mixed in with Semi's some of which are "Reefers" (Refrigerated) and have their cooling system running all night long
And even then a Honda EU-2000i or EU-3000i (Or competitor's product) inverter gernerator... Odds are nobody will even notice.
Make sure Generator is SECURE so it won't walk off
Make sure exhaust comes no place at all near your RV
(IE; Secure to front of tow vehicle when using)
Hate to read about you in the paper.