The speed of uptake is overrated. That's marketing hype by the supplement companies. You need carbs for glycogen replacement, protein to build muscle and saturated fat for the testosterone boost. Whole milk has all the nutrients needed to build muscle. Testing has been done on 2% chocolate milk and it works fine. There's no reason white whole milk wouldn't work at least as good.
Testing has also been done with skim milk.
Try whichever you like and see how it works. Go with what works best for you.
looks at it in detail. However, the article
he uses to justify full fat milk actually looked at low fat milk. In any case, this is his key point:
So which milk you should drink post workout depends on your caloric needs for fat loss, which depend on your body-weight most.