It possible but what direction will it go?
Like you found out the F/R is reversed for bits-ZZ but for giggles the Toys R Us Special is ok F/R but fliped on L/R
Have not heard of a remove flipping the F/R L/R but that would be fun.
Its possible to put a switch on a remote to "flip" direction or steering. Planing on doing that amd makeing a super controller.