Hmmm, I can see that the caffeine helps block the pain receptors, also any extra liquid helps flush lactic acid. And warn liquid (coffee) helps warm up a sore body. On the down side, coffee can dehydrate you and work against flushing lactic acid if you are not also drinking water or similar.
Agreed with Fireball1234 on the dehydration thing -- after my two morning cups I end up drinking a 1.5L of water throughout the day to rehydrate (plus it's just healthy). I know I'm probably drinking more than I need to but I've kind of taken a liking to drinking lots of water now...
I have heard similar things too. But from my opinion, its really hard to find out if it is fact or not unless the source of information has some authority. Whatever the result is, i might not give up drinking 4/5 cups of coffee per day
The headache thing makes sense, as I sometimes get a headache if I haven't had enough caffeine. But I'm having a hard time believing that about pain from running. The only thing I know of to minimize running pains is properly stretching before and after. I'd be interested to read the actual article instead of just a quote pulled from it.
look into getting taurine in bulk, preliminary research shows that caffeine paired with taurine (one of the ingredients in red bull) increases athletic performance in a number of ways. Most importantly though, taurine reduced your diastolic blood pressure, and is associated with reduced risk of complications when treating patients with heart attacks