Earlier quoted context omitted.
If you get DDOS'd they will stick your VMs in a black hole until the traffic stops to protect their network, no matter how much you plead with them. Good practice, actually, but it's something people usually get frustrated with and they're literally famous for doing it.
This doesn't seem unreasonable, OVH is not advertising DDOS protection (nor do they seem to be structured to offer it). Some hosts will can your VM and throw out its data, which is a much worse outcome. Edit: I stand corrected ¯\_(ツ)_/¯
And they also have a lot of experience with it because they host a lot of game servers which are very prone to DDoS attacks (see e.g. https://securityaffairs.co/wordpress/51640/cyber-crime/tbps-...), so they are definitely “structured to offer it”.