I don't think that has much value because the ad provider wouldn't know who you are to begin with.
First time you open said website no cookies would exist for the domain.
Then the ad provider wouldn't know who you are.
Ex: Access foo.com and search for shoes, shoe cookies set for foo.com
Then access bar.com which hits foo.com for the ad suggestions
Now foo.com knows you searched for shoes, since the 3rd party cookies are there.
Now if you do it without 3rd party cookies bar.com wouldn't have any access to the cookies which identify you as a shoe buyer, because those are set for foo.com
I don't think that has much value because the ad provider wouldn't know who you are to begin with.
First time you open said website no cookies would exist for the domain.
Then the ad provider wouldn't know who you are.
Ex: Access foo.com and search for shoes, shoe cookies set for foo.com Then access bar.com which hits foo.com for the ad suggestions Now foo.com knows you searched for shoes, since the 3rd party cookies are there.
Now if you do it without 3rd party cookies bar.com wouldn't have any access to the cookies which identify you as a shoe buyer, because those are set for foo.com