This line of thinking makes me feel uncomfortable. That you can secretly give away data about me and which videos I watch because of some text in your TOS.
I also doubt it would hold in court. TOS have a very restricted applicability. You can not use them to restrict people's rights in unexpected ways.
True in the US, not true in the EU. There is a reason Google Analytics has a switch to throw a few bits of an IP away, and it surely isn't because Google hates data.
Given that they are selling a CDN, and thus likely want to sell to globally operating customers, that might become relevant relatively quickly.
I also doubt it would hold in court. TOS have a very restricted applicability. You can not use them to restrict people's rights in unexpected ways.