You will still charge while plugged in to a 20amp outlet, but running your AC will be a little iffy when you use the microwave, coffee maker, etc. Plugging into the outlet allows you to use your 120v, but using a charger only allows you to use your DC stuff.
2015 F350 XLT PSD CCSB SRW, Andersen Ultimate hitch
'12 Cougar High Country 299RKS, Mor/Ryde Pinbox
1/77 Armor Bn, 5th Mech, I Corps