Ok lots of editing but here is the final result.
Credit to DracoArceus: "Only Pokemon with another OT will disobey you. So in this case it would obey you perfectly. Source-Experience"
I checked this out and found another answer on Gamespot that said the same thing.
So your Pokemon will always obey you.
If you trade a Pokemon that only evolves through friendship (For example Golbat > Crobat) and it has not yet evolved then it's friendship is reset to 0. So evolve a Golbat, or others, first before trading.