Sounds a lot like nagging [0] with some trick wording [1] in the nag.
I think the website is missing a dark pattern here, spray-and-pray, which is throwing as many reincarnations of the same thing as possible, hoping one eventually sticks.
[0] https://www.deceptive.design/types/nagging
[1] https://www.deceptive.design/types/trick-wording