How about if there was no rotation but 100% tip/ball slippage - like, say, an unchalked tip with grease on it? Would there be squirt then? Or would it be a "carom" like two silicone coated balls colliding off center?
That would be the same as a miscue, so of course the cb would deflect sideways away from the point of contact.
But not the same as two silicone balls colliding off center. The balls weigh the same and therefore affect each other equally, making it simple to determine directional paths after the collision.
With a cue tip that slips off the side of the cb, a miscue, the exact path of the cb after collision depends on the speed, flexibility, and end mass of the shaft, because the weight of the ball will still deflect/push the shaft offline. The cb path depends on how much and how quickly the shaft moves. Add some chalk and the shaft still gets pushed offline, but the tip grabs and pushes the cb along the stroke path while riding the circumference of the rotating ball for that very brief time period.
I think you are calling squirt something different than cb deflection, and I believe it's the same thing. The cb deflects/squirts out of the cues path, regardless of whether or not the cue tip is covered with silicone or chalk. Naturally it deflects/squirts less with a chalked tip, and even less with LD shafts.