Cloudflare's pretty cool, actually! This is a case of the bearer of bad news getting shot.
Normally a site using Cloudflare shouldn't show a page like this at all, it'll just load normally. But, then, let's say there's a giant traffic spike or some script kiddie pays for a botnet-provided DDoS attack.
Without Cloudflare (or the like): You see: The server is overwhelmed and the site doesn't load, except maybe very rarely. You think: The site is crap and they can't keep their servers up! But you should blame: the botnet or the lack of server capacity
With Cloudflare (or the like): You see: an (admittedly annoying) interstitial, and then the site loads (probably) You think: Cloudflare is garbage! It's making me wait to access this page! But you should blame: the botnet or the lack of server capacity
So, yeah, it's annoying, but less so than not being able to access the site. Also, Cloudflare is a big fan of net neutrality and helps certain sites at times, too.
Red enemy: one-shot it. Blue enemy: kill in three hits. Silver enemy: I have to hit that thing soooo many times, even with a high-damage weapon.