Amazing looking trailer. I was confused as to why they're hiding Wolverine, I guess the fact that pictures of him in the suit leaked online is just something they plan to ignore (although, funny enough, when I went searching for the teaser on youtube a video right next to it in the search results had a thumbnail that was a leaked picture of him in the suit ). I didn't expect to see the TVA, but they seem perfect for what the movie seems to be going for.
I've watched the special edition of DP2 so much that I can't remember all the differences from the original version, did the theatrical cut not explicitly have him use the time machine to save Vanessa (and X-Force member Peter), and then have a bunch of jokes as a stinger of him doing other ridiculous time travel things (like killing Ryan Reynolds right before he accepts the role in Green Lantern, killing Wolverine Origins Deadpool and killing baby Hitler)? Because, yeah, I can definitely see why the TVA would be after him based off the end of Deadpool 2.
I think they want to save the Wolverine reveal for later to have something for people to keep waiting for. Every trailer is suppose to give you something new to talk about. This one is basically letting use know Deadpool is still Deadpool and not watered down because of Disney and also sort of giving us a basic setup of what he will be doing in the movie.