You could argue that this doesn't solve your problem, because we have to identify you to tell if you have paid or not. But actually paying for a service radically alters the relationship - it's suddenly in our interests to keep your information private, because if we don't you'll stop paying us and move to competitors who can provide better privacy. So we're now on the same side on this issue.
The old adage that if it's free, YOU are the product is now understood by more and more people.
Honestly I don't think we should even think about getting rid of adverts, but I definitely think that these adverts need to focus on being non intrusive, they have to start respecting people's privacy. I would willingly support a product which helps keep something I love online. But I would definitely think twice if that said company tries to get through to me by tracking and observing what I do online.
I think the ad model needs to improve where the major players will start enforcing strict rules on what types of adverts are allowed for example, they could reject any advert that waste CPU cycles, reject ones using too much memory, ban buggy adverts.
Plus, the number one concern these days, the privacy concern, I am forced to use adblockers everywhere on the Internet except for a few sites because I do not want some company giving me product recommendations just because I had a conversation with a friend about something related.