Seems like they're preparing a new part of Time Temple.

It is not THAT temple of time. It's most likely a new zone, as seeing that the monster seem to be different and the reaveling of the new gate. We can only wait and see to confirm this, but the monsters differences already prove my point.

What are these monster differences of which you speak?
The red bull that is clearly Lyka?
The red decorated suites of armor that are clearly Chief Oblivions?

Temple of Time is pretty much floating right on top of Leafre, where they end up...

Oh, I'm aware.
I was wondering who would be first to suggest that they could have possibly survived that fall.