I am kinda happy that I inspired a thread. Yay me! Ok, got that outta the way.
This is a pretty clear cut case, where E&C has a bit more time to gain clarity. Edge and Christian both have years left before either retires, and Christian is a borderline case anyway. Thus, the question sought to answer how will they both get into the HOF or not. With DX, Shawn is nearing retirement, and while Hunter is slowing down, he still has some time left before going out. For this reason, even if Shawn isn't inducted the same year he retires, he will likely be in the Hall while Triple H is still active on the roster.
It isn't really a question if either guy will get in. Politics aside, both have had immense careers, and are toted as future Hall of Famers. Both will be in the Hall of Fame sooner or later, and probably won't go in at the same time, unless they both want to be inducted on the same night. So, the DX option is kinda out the window, unless Shawn and Hunter both request it. However, DX will likely be mentioned with both inductions, so the group will be noticed either way. Shawn is the original founder and leader, the guy that made the group what it was. Triple H is the guy that took over and ran with it, expanded it, and saw it through its dying days. Both played a key role in DX, but DX did not encompass either man's career, and the Hall of Fame should reflect as such.