Demon Statue Limit

I have always kept demon statues in my storage rather than my active item ring, and the notes say there is a limit of 5 in your storage, so I have always sold down to 4 before beating new bosses. Out of curiosity, if I stored them in my active item ring instead, would I still need to sell down to 4, or could I collect 20 of them (plus extra in storage) just like any other item?

It only checks in the storage - both for current count and where to add them.