You are correct on the ISP level. I am a network engineer for an ISP, we utilize Corero to monitor and mitigate DDoS attacks into our network. Since 99% of the time the DDoS is not targeted to us but rather the customer, I also kill the active IP addressing to their Modem/ONT, and configure that endpoint so it isn't allowed to pull an IP. Once the attack stops, re-config the endpoint and have it pull a new address.