The problem with that is that the Big 10 isn't going to stay at 12 with the SEC and PAC 16 expanding so the Big East will get raided. There may not be a Big East left to join.
There is no reason to say they need to jump to 16 just because the SEC or Pac 12 do. That would be a completely knee jerk reaction by the conferences.
Its very possible the SEC goes to 14 and the big 10 stays at 12. They stayed at 11, one less than the SEC and Big 12, for 20 years, and there were a lot less downsides to going to 12 than there are going to 14 or 16.
The big 10 will add teams when it makes sense for them. And that means it has to make sense not only financially, but from a conference standpoint in general. You've got a historic conference and full of teams that have played each other for 50, 60, 100 years, and when you get up to 14, 16, all of a sudden a lot of those historic matchups just disappear. For what, so you can add teams out east where they dont care about college anyways? It just doesnt make sense.
The PAC is obviously in the least disruptive position if it goes to 16. With an east\west division structure and all of the new teams coming from the east, most of the original PAC teams could be in a division together and barely notice the conference had changed. The big 10 and SEC though would be much more disruptive changes.