I don't have any great insights on this but I'm confused about the thought that running after pitching is useful to rid the body of lactic acid that was built up. My understanding is that pitching is an anaerobic, alactic activity. So, if this is true, running would not be required for that reason. It may have other benefits and I'll leave that up to those who know more than I (just about everybody
).
I've also read one person's view that you would ice because you can look at the pitching action as creating many microscopic "damages" and icing would be responding to those.
Anyone out there have more knowledge about this than I?