Bowser Jr has some interesting properties on his side, down, and neutral special with respect to reversals. Each move can be input backwards (downward diagonal for down special, slight tilt on lower sensitivity for cannon) which isn't revolutionary. However, there is a second window to reverse with separate properties exactly three frames later on each move. Reversing at this point will reverse your momentum, sending you the opposite direction of wherever you were going (the car reversal just makes the windup shorter, but the hitbox comes out at the same time). These reversals are not mutually exclusive, meaning you can run and jump, input to drop the mechakoopa behind you, then reverse it a second time to actually drop it forwards, but move backwards. You can also double cancel the cannon in the same manner.
You can act on the first frame after jump cancelling out of the car, and it takes three more frames to reverse your momentum from the car. These inputs can be extremely difficult to do normally, but they are actually much easier to do jumping out of the car, as most missed inputs would normally be interpreted as a car input. This lets you charge at someone in car, then fly away charging the cannon in just 4 frames.
I found this recently in training so I haven't had a ton of time to experiment, but the inputs are doable with practice. I can already do them out of car decently well and I'm terrible at most precise inputs. It also explains why trying to drop mechakoopa backwards seemed to be so finicky.
You can act on the first frame after jump cancelling out of the car, and it takes three more frames to reverse your momentum from the car. These inputs can be extremely difficult to do normally, but they are actually much easier to do jumping out of the car, as most missed inputs would normally be interpreted as a car input. This lets you charge at someone in car, then fly away charging the cannon in just 4 frames.
I found this recently in training so I haven't had a ton of time to experiment, but the inputs are doable with practice. I can already do them out of car decently well and I'm terrible at most precise inputs. It also explains why trying to drop mechakoopa backwards seemed to be so finicky.