I would expect that running the TT near it's as built full load, could prevent the use of extra plugs, especially anything heat generating. I'm issue occurred running the TT as built, with no extras, near full demand. But, and extension cord is something I need to add to my gear.
2015 Jayco 26BH
1996 F350 SRW, 7.3 PSD, Crew Cab, 8' Bed, 3.55 gears (the beater, and TV)
2015 Explorer Sport 3.5L EcoBoost, AWD, and Tow PKG (Kid hauler, and ambitious TV)
2011 Shelby GT500 (only thing it pulls is G's)
2003 Jeep Liberty Limited (DD's)
1995 F-150 short wheel base (Sold)