I have in the middle of thoughts of moving out of AWS and having a dedicated provider as our billing has increased a lot with the scale. The only thing which was holding me was the uptime confidence. Now I feel it's not a bad idea.

If its static site, put it anywhere and just cache it with Cloudflare. (turn on the always on feature)

You also get your ssl sessions backed up on global webcaches as an added feature.

What does it mean?

He's referring to CloudFlare's newest feature, CloudBleed: https://en.wikipedia.org/wiki/Cloudbleed

To do this you'd create a 'Page Rule' that specifically tells Cloudflare to 'cache everything' for a URL pattern like https://examplesite.tld/* .

You can set a cache invalidation time too.

Always online is a slightly different feature I believe.

May be its bad implementation of cloudflare. Cloudflare doesn't do javascript check if content type is xml in headers unless you explicitly want it to do. RSS feeds and similar URLs should be excluded from security with page rules.