Both the canoes I rigged (electric) had side mounted stick steering, and it worked/works just fine. Also every Florida airboat I've ever seen had stick steering, including the one I owned (500cid) for a couple years. It's much quicker than wheel steering and handles more like a tiller. The side stick is more convenient in situations where a wheel might get in the way.
Every rig I've seen had it on the port side (seems to be convention), I guess to leave your right hand free for whatever.
The airboats of course have rudders. It might not work so well with a big outboard or outdrive because of the torque feedback. However if the motor is safe to use with a tiller, it's probably OK for a stick.