Honestly: no. I'd rather pay more than selling my attention, because that's what ads are doing. My time is more valuable than whatever margin they're making by showing me ads, and I'm very confident that I'm not alone with this position.
>Is that even possible now? Would advertisers pay if they didn't get that information?
This is a really good question, and adding to it: how hard-wired are these mechanisms into modern websites such as the nyt's? I'm pretty sure that there is no simple on-off switch, but how much work would it be to implement one?