Reverse motor switch?

If one has a controller that does not offer a reverse switch input when the speed input is analog (such as from a twist throttle), could a DPDT switch be installed in two of the motor phase power lines to reverse the motor direction?  What I am wondering in particular is if such a scheme would mess up the controller/motor calibration or some-such thing when reverse is selected?

I'm thinking in particular about one of the Flipsky controllers which, as I understand it, only provides motor reverse thru the PPM input (which a twist throttle does not have).

TIA for any assistance...