There are no cruise ship crowds in any of the Cyclades islands except Mykonos and Santorini. Even on those it is confined to Fira town and Oia on Santorini, and Mykonos town on Mykonos and the site on Delos. Elsewhere on those islands no cruise ship passengers.
I first stayed on Paros/Antiparos about 30 years ago and have been back many times since.
Carrying on from your other post about the Small Cyclades, Antiparos is a lot busier than Koufonisi. The Main St on Antiparos in the evening is very much busier and animated than on Koufonisi.
If you are only going to stay one day(2 ni) on either Antiparos or Paros then you are not going to see much. For that length of time quite irrelevant whether they are too small and boring.
If you don't want to spend so much time on ferries then why keep moving islands for just 2 nights, or indeed using excursion boats.
If you have not been to those islands at all then comparing them is very academic and relative. It really is a try and see scenario.
You have already got a very wrong impression about cruise ship stops.
