It's not the high ping that causes the lag. It's their bad connections (loss in packages or whatever Bison always tells us). I think it's rather that their high ping is an indication of their bad connection instead the high ping being the cause of their skipping/lagging.
There's people on there with lower ping than me that skip around, while I or people with higher pings than me, like Assassin, don't skip.

Correct me if I'm wrong though, I'm not an expert.