Say site www.a.org includes an image from www.evilcorp.org, and www.evilcorp.org sets a cookie. When I then go to www.b.org and it includes an image from www.evilcorp.org, I don't expect the cookie to be sent back.
In other words, the cookie should be tied to www.a.org, even though it actually came from www.evilcorp.org. It should only be sent if my URL bar says www.a.org AND the image is coming from www.evilcorp.org.
I feel that this is how browsers should have been designed in the first place. I welcome this Container Tabs feature, but I don't think it quite goes far enough to restore my privacy.