Third time I have seen this thread today.
Using a meter find out if your cheater box is like mine.. The neutral and ground are common, The HOT wires however one plug feeds one side of the 50 amp outlet, the other plug feeds the OTHER side.
IF that is how yours is wired... THEN I think your plan SHOULD work since the two legs are independent of each other on a motor home.. This assumes you do not have any 240 volt stuff.. YOUR Energeny management system (If you have one) may, however, fail to detect the generator... Just so you know. Manual override may be needed. (I forgot that in the other threads)
WHY is this: So long as the two legs are seperated (Except for the neutral and safety ground) there should not be any interaction between the genny and the mains.
One other thing.. Some Gennies do not like to have neutral and ground bonded. Others do not mind. If yours is of the first kind you will need to "Break" the ground lead to the genny... There are several ways to do this.. Hopefully the genny maker will have done it internally (How I would do it)
Home was where I park it. but alas the.
2005 Damon Intruder 377 Alas declared a total loss
after a semi "nicked" it. Still have the radios
Kenwood TS-2000, ICOM ID-5100, ID-51A+2, ID-880 REF030C most times