Being able to set up alerts to match certain keywords allows me to more actively consume their media and tends towards me actually supporting the continuation of their site because I noticeably consume and care for their media because I know it is there.
A site without an RSS feed means I need to manually check the site for any updates. Which means I'll never check the site for actual updates. Which means I never consume their media and wouldn't even notice if they closed their doors and shut down.
It's free, has simple design, consumes few VPS resources, supports plugins. There apps for Android, iOS, WP. Requirements: a webserver, PHP, Mysql/Postgres.
I was a bit disappointed after Google decided to shutter Reader but with a little digging, I found Newsblur to be a (better than really) replacement for Reader and am happily using / subscribing to new RSSs feeds daily.
I find it much easier to curate information / sites in one place and use HN / Reddit for discussion about said.
I used to dislike missing items (FOMO) and Reader was great for that, but because Newsblur has a limit per site I've gotten used to it.
Moved over to Feedly after Google Reader shut down and it's been fantastic.
Frankly, with Facebook, I can just like relevant pages of blogs / sites I want to follow and get curated news that is much easier to access.
The subreddits don't work so well via RSS. Shrug.
 and I gladly pay a few $/yr to keep them going
That... kinda seems like it doesn't lead into a conversation very well....