I used to have a swivel, but took it off 7 months ago and haven't noticed any change in being able to bring the anchor backup and in chain twist. But then I also have a couple of schakles connecting my chain to the anchor and that allows a lot "play". Personally I think as long as you sized it properly a swivel is just fine.
My key takeaway of the article and the many ends discussions here about swivels is:
"Google “Anchor Swivels” for additional information on this important issue. Just remember that not everything you read on the
internet is true, and some of the shorter negative comments on
forums are based entirely on unsubstantiated opinion."