Both the Rome Flora and Capri Tiberio are owned by the same group (as is the Naples Marriott). The two properties are among 6 or so that are not subject to the new rules (or old for that matter). They are also notoriously hard to get.

However, two days ago I was able to get two nights at the Rome Flora (Sat/Sun) in June, and two nights at the Capri (Mon/Wed).

One quirk I have noticed about Marriott's search engine, is that if you ask for say two or three nights, and the hotel only has one or two for the dates you are looking for, you will not get anything returned (even showing one night).

For example at the Capri, I wanted Tue and Wed, but only Wed was available. So when I first searched I got nothing. However, when I put in only one night, I got Mon and Wed.