I think what you said may be very accurate for most common ball-ball collisions on pool tables, but in general they can be quite different, e.g. kinetic vs. static frictions between ball and cloth, between cuetip and ball.
The physics of throw is not a simple matter of kinetic vs. static friction. With a frozen CB or a frozen-OB combination, one might think "static" friction applies. However, there is still sliding between the balls during contact. If the cut angle between the balls is on the small side (less than about 20 degrees), sliding stops during contact and the balls "gear" together. In this case, the amount of throw doesn't vary at all with shot speed. For larger cut angles (greater than about 20 degrees), where sliding occurs during the entire contact period, the amount of throw is less at faster speeds because the effective "kinetic" friction is less at faster relative surface speeds.
FYI, items 16-27 in the numbered list on the squirt/swerve/throw effects resource page summarize all throw effects (with supporting articles and demonstrations). If you look at this list, it is clear that throw is not a simple matter of "static" vs. "kinetic" friction.