If someone offered me free cable I wouldn't bother to hook it up, there's simply nothing on that I want to watch, and having been ad-free for so long I find commercials absolutely intolerable. I used to have Netflix but they kept dropping stuff I wanted and focusing on original content I have no interest in, then they added that awful "feature" that auto-plays content while you're trying to read the description, I dumped them and now only use Plex. I'm back to buying used DVDs and blurays only now I rip them onto my server and pack them away in a box.
How big is your server? How many DVDs can it hold and what the advantage vs just popping in the blue ray player? Out of curiosity do you have a big monitor in your living room? That's what I used to do had a huge ~50" NEC HD monitor I hung on the wall and put a laptop under it to control it play movies on it.
I have a 8TB drive, it has around 800 movies, several dozen TV series and my entire music collection. The advantage is the convenience of streaming, I don't have to get up and get out a disc, I can watch multiple shows/movies in one sitting, I can watch on any screen in the house, I can watch from my phone or tablet on the bus, I can watch on my laptop away from home. Anyone who has ever used Netflix, etc will quickly see the advantages, your whole collection is right there with the poster art, descriptions, search, tracking of what's been watched and what hasn't, I'd never go back to using physical media. I have a 60" TV in my livingroom as the primary display, it's a standard tv but is used exclusively as a monitor, I've never even tried the tuner.