As a concept, BzzBzz, I'm not sure that makes much sense. An rss-reader is essentially a bot. The DDOS protections are specifically designed to block bots. Even if they could get around the protections sometimes, they couldn't get around them consistently.
They could turn off the protections for their RSS (especially since it requires login). They could add rate-limiting. They could ban accounts that hit feeds more than 10k times a day. They could enforce that you can only be logged in from one box at a time. They could also tune their threat threshold lower, so that cloudflare isn't constantly checking everyone. Hell, they could maybe do a whitelist of people who are using RSS responsibly.
There are many options, but updating the reader is probably the hardest and one of the options least likely to be successful. There are a couple readers, I think, that work fine, but the 3 I've tested with all fail.