I'd read the thread on hacker news, and then, a few weeks later, I bought something at a very niche site. There was a checkbox that said "Remember me everywhere". Even though I'd recalled the discussion here, I was afraid to check the box because it's so vague. Remember me why? And literally "everywhere," really? It wasn't clear that I wasn't opting in to some new kind of advertising tracking or location spyware service.
Anyways, Stripe made the right choice here.