Originally Posted by Dog Ship
I have visions of the chain loading up and trying to untwist with the anchor flipping around or simply having difficulty setting it.
No, that won't happen, not with 50' of chain out.
What can happen is that the anchor will come up backwards, needing a 180 twist to set in the rollers. In this case, there is only 3-5' of chain between the windlass and anchor, and only inches between the anchor and the roller. Mostly, it depends on the anchor shank design.
I've had both set-ups on the same boat. That was the only difference I ever saw.
I don't have a strong opinion. If the anchor comes up OK, skip the swivle.