I am surprised no one picked up on the fact that the Super Cub transmitter is only 3 channels.
You absolutely have to have a new transmitter to fly a typical aileron trainer as they are almost always 4 channels.
Since you do need at least 4 channels you might as well opt for at least 6 channels so in the future when you want to fly that new plane with flaps and/or retractable landing gear you won't have to go out and buy another radio.