The website doesn't really care; they have hosting costs so if you're not paying with money or by accepting ads then to them you're worse than not visiting at all as you consume resources, so it's good if you leave?
Sure, but people have memory and if you block people who aren't even going to contribute to the running costs of the site via the channels they provide, never mind profit, then from the site owners perspective it's pretty great if you recognise it as a site you don't want to visit as you likely won't come back
I always do this when I can't see a page. I also do it when they pop out a big box with text in the middle of the reading and if they also pop out a big box begging me to accept the cookies.