Sure, a Chapelled deck means it's easier to chain those Regroups together, but the discard requirement puts a limit on how much you can do that.
You can get around the limit for a very small deck (or a deck that can draw itself before playing the Regroups), because the victory card you discarded for one Regroup will be drawn again by the next.
If you get your deck down to four of these, a Chapel, and a green card, you're guaranteed Province buys until you hit four green cards, at which point you can alternate between trashing your worst green card and buying another Province. Whether or not that's game-winning depends on how fast you can get your deck to that point, and what your opponent is doing.
