I would not promote rushing drills and / or approach briefing & set up / flying, etc, in order to get it on the ground asap, as we all know that rushing exacerbates the level of risk.
Rainboe's anecdote above (engine failure at TOD) illustrates this concept very well. The Captain decided to continue on a NORMAL, PREPLANNED arrival at the destination airport, rather than scrambling with an UNPLANNED, possibly UNFAMILIAR "emergency" approach at a different airport. The time difference might have been a few minutes at most. I would agree with the Captain at the time that continuing with the preplanned arrival was much SAFER.