My clients love push notifications and they think if apps could do that, why not websites? I'm not a big fan of push notifications on my iPhone, but I understand clients always after something new and easy to use.

RSS is a kinda weird stuff for non-technical people, they have to find a way to subscribe the feeds, on their desktop or mobile. And they need to develop a habit to check that out or they'll forget about it in a couple of days. In contrast, push notifications seem to be a much reliable way to get people notified after they subscribed.