"If a government decides they want you offline" is quite a big difference from the original "Once you get kicked off Cloudfare, thats mostly it for you".
Somebody else asked this but deleted before i could respond, so i am glad you asked.
Centralized DDOS protection and DDOS seem to be two sides of the same coin, so i dont understand what the distinction would entail.
edit: You could argue that DDOS is an equal opportunity tool, while the threat of getting kicked off cloudflare is reserved for a selected few. So the difference would be which is more at threat of getting exploited. Hope that helps.