I did a bit of research on this a few years ago, I have two chimneys and we put the chimney pot cover on one of them(fitted into the pot, a metal hat type pot cover that can be raised and closed via a chain on your fireplace) looks good too!
The reason I went with this was because I was amazed at how much water comes in a chimney pot throughout a year, think it was 40-60 litres so while a chimney being used(the fire being lit) will dry out this moisture and won't be noticeable, a chimney not being used would be more prone to moisture coming in and possibly causing dampness.