I order my CUC from Reef Cleaners as well. I have never had an issue just floating CUC.I've followed the same protocol as suggested by Reefcleaners multiple times and have not suffered any losses through shipping (that is usually where I buy inverts), but I'm sure just as many hobbyists can point to similar anecdotes where they've dripped snails/crabs and had perfect success. I would def still drip the fish though.
One thing isn't debatable however - it sure is a lot more convenient to only float the inverts. Not that that should be dispositive but in a world where information is conflicting/uncertain it's not bad to consider.
What do you suggest for the carpet anemone?