The previous example you've just experienced is called Nagging.
- Nagging refers to a manipulative pattern that, once used, results in consequences similar to this: the user tries to do something, but they are persistently interrupted by requests to do something else that may not be in their best interests.
- When you're persistently interrupted, you're more likely to give in and end up engaging in behaviors that aren't beneficial for you. In the previous example, you're likely to eventually allow the website to send notifications to you, resulting in numerous unwanted promotional messages being displayed. It's akin to falling into a trap of distractions, or perhaps even being tricked into wasting more time.
For your benefits, you may consider leave or report the websites that use Nagging.