In fact, I generally don't even go to a site if there is a modal popup that makes me accept cookies (occasionally I have if I'm curious enough) and I have literally never signed up, even if free, to get access to an article.
Bypassing paywalls lets me pay what articles are worth to me to continue to browse them.
I do pay for an article aggregation service (academic articles), and I do pay for substack newsletters (although this is in part to support work I think is good even if I wouldn't pay for every article).