No. Not to mention the fact that the skating force pulls the stylus toward the spindle. I agree that groove tortuousity does affect the skating force but not because it affects the magnitude of the friction force. Because.... for the Nth +1 time, friction is not a function of velocity. You can’t bend the rules of the basic science to explain the observation; you have to find another cause that does fit the science.
I am not at all sure I am correct, but my best explanation is that in tracing the tortuous groove, the stylus is pulled along at a "speed" dependent upon the platter speed and the distance of the styus from the spindle. The ins and outs of the groove walls however cause rapid instantaneous changes in stylus velocity, in order for it to negotiate the groove. Each instantaneous change, because it forces a change in velocity at the stylus tip, is an "acceleration". Acceleration is defined as a change in velocity, up or down. So now you have a mass (the moving mass of the cartridge) that is constantly accelerating. This would create or rather require the stylus to endure tiny forces according to Newton’s First Law of Motion (F = ma). It is those tiny Newtonian forces, which have a vector direction in the general direction of the friction force, that add to the net skating force.
I just thought of another possibility: The tortuosity of the groove causes the stylus to mistrack. Even when we don't hear it, there is mistracking to one degree or another. During a mistracking event, by definition the stylus loses or nearly loses contact with the vinyl, or the stylus may be driven against the vinyl. Either type of event would have a minute and transient effect on the instantaneous VTF, the force normal to the groove. That could indeed increase and decrease friction for fractions of a second. That could cause the ups and downs of the skating force, but not because of "velocity" or "speed" or whatever you want to name it. Mistracking can occur in the outer grooves, where velocity or speed is maximal or during the inner grooves, where velocity or speed is minimal, and is probably worse at the inner grooves.