Not really. The events of O:W didn't happen in the altered timeline, and so Wade Wilson was born later.
WTF? "Wade Wilson was born later" due to Wolverine changing the timeline?!? I'm sorry, but I just don't buy that for a second. While Wolverine did make some significant changes to the timeline, I don't think that this theory of time travel can really allow for entire people to be born at a different date!

This isn't even a contradiction anyway. This Colossus is literally the only data point we have for what Colossus is like in the new (post-DoFP) timeline, so he is the new standard, not some 'aberration' of what the previous movies did.
At the end of Days of Future Past, we briefly saw Colossus in the altered 2023 and he was still played by Daniel Cudmore.
The fact of the matter is that the ending of Days of Future Past gave us a glimpse of so many characters that it kinda makes it difficult for them to maneuver too much with a lot of them in Apocalypse. For example, we know that Cyclops, Jean Grey, Storm, Beast, & Professor Xavier all have to survive. (Although, they could still use this opportunity to kill off Mystique or Magneto. I don't know.)
I'd say it's pretty much undeniable that Deadpool is an X-Men universe movie - certainly trying to disqualify it on the basis of continuity issues is ridiculous, since First Class caused far more significant ones and Apocalypse is set to introduce at least one other totally inexplicable one (how changing the timeline in 1973 can somehow cause a person who was supposed to be born in the late 80s/early 90s to suddenly have been born in the mid/late 60s, before the timeline was even changed).
I assume you're referring to Angel. That is a problem. Tentative theory: Perhaps the Angel in this movie is the father of the Angel we saw in The Last Stand. The elder Warren Worthington in that movie was actually that Angel's grandfather, not his father.
One thing I do think about Deadpool is that while it's definitely the same universe, it's probably not 100% a reliable description of that universe. It's all slightly filtered through Deadpool's general wackiness, leaving a certain distortion on characters (I've seen this in plenty of Deadpool comics and the movie seems to be pretty much the same idea), so I would say Colossus probably does look like that, but the personality is less what Colossus really is and more what Deadpool thinks of Colossus.
The "unreliable narrator" idea does fix some problems but it still doesn't explain Wade Wilson being born later.
