Let's say I were to fly a glider with the stick and rudder exactly centered laterally, while making the appropriate pitch inputs, during a winch launch.

Would the glider remain wings level throughout the launch or will it diverge to one side? My intuition says it will be stable, because on the flip side you need to apply constant stick and rudder inputs to steer into a crosswind during winch launch. Then again, that is for coordinated flight, so perhaps stability suffers if we allow a sideslip to develop. Also, I've only flown a very gentle ASK21 trainer, perhaps it's different for less stable aircraft.

Let's say I were to fly a glider with the stick and rudder exactly centered laterally, while making the appropriate pitch inputs, during a winch launch.

Would the glider remain wings level throughout the launch or will it diverge to one side? My intuition says it will be stable, because on the flip side you need to apply constant stick and rudder inputs to steer into a crosswind during winch launch. Then again, that is for coordinated flight, so perhaps stability suffers if we allow a sideslip to develop. Also, I've only flown a very gentle ASK21 trainer, perhaps it's different for less stable aircraft.

I'm looking for an answer that relates the forces acting on the airframe to a stability argument: so both the forces and moments due to the winch, as well as the sideslip / roll coupled forces. Free body diagrams and/or equations of motion are highly encouraged.