We have asked if they still have the original door but doubt it tbhNever changed the door on a Mazda, but on the last Ford I did, because of all of the security stuff, I swapped over 100% of the original harness, switches, everything, to the new door. Never had the slightest issue, either.
That's probably what the shop should have done. I'd call them, see if they still have the old door, and ask them to swap your original harness back into the new door.
If they have already disposed of it, then *they*, not you, need to make it right.