I hope the events of The Wolverine still happened in some way, shape or form. It would suck for Logan that if after losing Jean and finding Mariko, then saving and (essentially) losing Jean again, if Logan and Mariko had never met in the new timeline. It would make sense that Yashida still would have sought Logan out when he was dying even in the new timeline, thus initiating the same chain of events.
Perhaps. Although, Wolverine is such a loner by nature anyway that I can see him not wanting to contact anyone. And if he & Mariko were trying to stay off the grid, that's another reason for him not to call the other X-Men for back-up. The more I think about it, the more I see The Wolverine as still having largely happened in the new timeline.
Further thoughts on the new timeline-- I think that it's entirely possible that the events of both the first movie and
The Wolverine could still have happened in some way shape or form. Magneto still could have had the same scheme to turn the world's leaders into mutants, with the X-Men getting involved when he tries to have Rogue kidnapped. The only real question would be would Wolverine already be a member of the team at this point, or would he the join the team here, as in the original timeline.
However, if I read the ending of DoFP correctly, and Mystique has taken William Stryker out of the picture as early as 1973, that eliminates the central antagonist of both
X2: X-Men United and
X:Men Origins: Wolverine, pretty much completely eliminating them both.
However, for those celebrating that
The Last Stand has been completely eliminated from the time-line should consider that Worthington Industries would still have developed its "Mutant Cure", thus taking Magneto on a similar course of action. Jean would still have had the whole uber-powerful Phoenix/split personality thing, and who knows how that played/will play in the new timeline?
I've thought that the new timeline gives Bryan Singer opportunity to do "Dark Phoenix" the right way, but that feels like returning to an old well. For better or worse, I think fans have to accept that X3 is how Dark Phoenix went down in the movie-verse, given a happy ending after the fact. Besides, DoFP gives the original cast a happy ending and a much-better capstone for their work than
The Last Stand provided. To re-do "Dark Phoenix" properly (to my satisfaction anyway), would require Jean to die... again.



And they've already done that twice. More, if you count the dream sequences in
The Wolverine and the flashbacks in DoFP.
No, keep "Dark Phoenix" as it is and leave the proper adaptation to the inevitable re-boot. That said, I do still think the original cast has one more starring turn in them (just not "Dark Phoenix").
BTW, was anyone else disappointed that Yukio wasn't still traveling with Wolverine in the future? I loved her and I hope she comes back at some point!
Sentinel: "Mutant identified!"
Yukio: "Logan-san. Remember when I said I could see anybody's death? Well, Sayona--" *fwash*

In the real world it was a money issue. Bryan Singer wanted to have few Sentinels in the sequence when the military attacked the school in X2, but they were cut for budgetary reasons.
That's an ex post facto excuse. There are ways of accomplishing things in films that you otherwise wouldn't be able to for budget reasons. Chiefly (and cheapest) among them are script and dialogue.
1: A scene in X2 where Stryker/whoever says "Send 20 special forces and 4 Sentinels!" would have done the trick. Problem solved.
2: If you wanted to take it a step further, Have Logan look out the window of the mansion and shine a bright light into the window, and play some kind of sound effect, and have him exclaim, "Ahh! Sentinels!".
3: Taken even further to really nail home the point, actually show on screen a diagram or schematic of sentinels, rattle off a list of their abilities, and then when they attack the mansion only show a H.U.D. of the sentinels attacking (but never actually show a sentinel).
These techniques have been around forever, and are all practically free to execute.
Jaws used them to great effect, where we barely ever see the shark in the film, but there were scenes from the shark's "point of view".
I think the real reason sentinels didn't appear in X2 is because no one thought to have sentinels in X2.
Perhaps. However, it seems like both a tease to the fans and a waste of a good concept to introduce the Sentinels in that manner and not give the audience some sort of payoff with it. The movie didn't lose anything for the lack of Sentinels, so it's no big deal to me.