Not "the whole process", which is my point. While the saucer unlatches and hovers a few dozen meters above where it used to be, the combination remains at high warp. But when the stardrive swerves to starboard, and an actual gap is created between the two halves for the first time, the action suddenly is at impulse.
(This is the remastered shot; the original has the same pinprick stars, though. No streaks, just some motion blur at the very most.)
We could argue that this is an artifact of camera placement - that a camera outside the ship's warp field is going to see stars, while a camera inside is going to see streaks, regardless of the speeds involved. But the tight turn we see wouldn't make any sense at high speed let alone FTL speed, so it feels more satisfying to assume that the ship did exactly what Picard said she would do: she reversed power and came to a standstill, more or less.
She then accelerated again, and again reversed power and came to a standstill; we miss the former part of the action, and get interior scenes for the latter part. But that must be separate from Picard's original command to reverse power at a suitable moment, because the explicated purpose of
that command was to create a separation between the stardrive and the saucer. The second reversing we see only serves to
minimize such a separation.
under normal operating conditions the saucer can wait around indefinitely.
...So why head for a starbase in "Arsenal of Freedom"? A saucer-shaped starbase isn't going to make any real progress in meeting its mushroom-shaped kin within the lifetimes of the crew (relativistic considerations notwithstanding), so why even start?
Built in a period of peace-time for Starfleet
But supposedly the ship would have been built in the 2350s-60s, which were not particularly peaceful: Starfleet had half a dozen known adversaries to fight, even if many of them were third-rate.
Timo Saloniemi