LaLiga isn't Cloudflare's customer. They have no relationship. So why would Cloudflare rework their infrastructure just to instrument rapid blocking at their own expense as a favor to LaLiga? And if they don't, ISPs just break the Internet for each soccer match? This is a kind of coercion that makes no sense. Cloudflare has no obligation like this to LaLiga (and neither would a Spanish domestic CDN!).
The reason why entities comply with the wishes of courts is because there's consequences if they don't. Consequences like being filtered.