One _could_ fly single channel (rudder only - R/O) with considerable control, BTDT. There is a technique to it. Adding throttle control adds a whole new dimension.
With rudder control, the plane tends to dip its nose and pick up speed, varying with the amount of rudder given. Because of engine torque, turning one way will be more sensitive than the other.
Small rudder input, the plane holds altitude while turning. More, and it loses altitude and gains speed. Full, it goes into a spiral dive.
With a mild gain in speed, one made an S-turn and it was back to normal climbing speed. Full rudder was used for stunts.
A properly trimmed R/O plane could loop and barrel roll. Some do one better than the other.
Loops, barrel rolls, recognisable Cuban-8, S-turns, Immelman are all possible with R/O.
I've surprised club members how well one can control a plane only using rudder and throttle. I got where I could put a deadstick airplane using R/O within a step of two of me. You learn how to judge wind and sink rate with R/O.