>they randomly ban cloudflare IP ranges.

It's not random. Many pirate sites use Cloudflare and Cloudflare does not do a good enough job of taking them down which enables pirating of the sport broadcast.

Routing your game traffic through a CDN is not normal anyways.

The game traffic is a drop in the water compared to the website itself, it's mostly there for leaderboards, the web frontend and game backend are compiled into a monolithic native executable.