Unfortunately that’s not entirely true, they correlate browsing based on location as well as habits and associate these “personalities” with your account given enough time to be reasonably confident it’s the same you.
It’s not perfect and sometimes I’ll get ads that were probably intended to be targeted at my wife, but they still targeted the household…
Sure, with enough effort and using TOR browser on Tails from a library this might be doable, but that amount of effort is just wrong.