I would say the opposite is true. I have recently been on this horrible, restrictive diet where I can't have milk or dairy (which is like my favorite food group). Anywho, it didn't work, but what was worse is it made my skin break out really bad. Since yesterday I have been drinking the good ole white stuff again, and my skin already looks better.
The only way I could see that study making sense is the fact that milk contains a lot of sugar, which can impact your hormones, possibly triggering acne. I however, am partial to milk and don't believe all the hype lately about it being bad. In fact, I recently had to read a bunch of stuff on some crazy website with baseless information condemning milk as cancer causing, and triggering rampant deaths do to heart disease in Portugal. It was for an English college class I'm taking this semester. I think it is all nonsense, and the benefits of milk outweigh the risks unless you are lactose intolerant, or just choose not to drink it due to beliefs or preference. I think almond milk is great, and is lower calorie and sugar, but I still drink skim too.
I personally, think anything condemning milk-drinking is part of the vegan agenda. Frankly, I ignore those people.