The coefficient of friction between sliding surfaces is not determined by a simple Newtonian physics equation. At different velocities the value changes--it generally increases with increased velocity. The shape, elastic properties of the surfaces, "slip-stick" properties, and a host of variables affect how much the friction will change with velocity, but the overall result is an increase in friction with an increase of velocity. See for example:
http://www.physics.usyd.edu.au/~cross/PUBLICATIONS/30.%20FrictionvsSpeed.pdf
One can expect skating force to increase when playing a 45 rpm record vs. a 33.33 rpm record, even when both are playing an unmodulated groove. The only way it would not increase is if "slip-stick" decreases so substantially with increased velocity that it overcomes all other tendencies for drag to increase.
http://www.physics.usyd.edu.au/~cross/PUBLICATIONS/30.%20FrictionvsSpeed.pdf
One can expect skating force to increase when playing a 45 rpm record vs. a 33.33 rpm record, even when both are playing an unmodulated groove. The only way it would not increase is if "slip-stick" decreases so substantially with increased velocity that it overcomes all other tendencies for drag to increase.