Customers can pick several levels of aggressiveness when it comes to blocking bots. Some of the more obscure browsers easily pass the "low" threshold but don't make it past the "high" threshold. Some older browsers like Palemoon seem to crash or break the JS Cloudflare serves but that seems to be a browser issue.

If your favorite website is blocking you, let them know. They can tweak a lot in their WAF settings. I don't think many websites care about obscure browsers, but it's something websites can control.