Do you subscribe to cable television?
Personally, I don't understand some peoples' animosity over subscription streaming services. If it's a purely fiscal decision, such as the fact that the subscription would cost you more money in the long run that's fine.
But making it about some sore of philosophical choice is kind of dumb, IMO. Take my situation, as an example. Before Apple Music came along I had well over 3,000 songs in my library. Probably 40% of them purchased from iTunes. I was spending on average more than $10 a month for songs that I was buying, and I have been doing so for years. With Apple music, for less per month I get to download and listen to any one of literally millions and millions of songs on a whim. The fact that I can put up to six people on the account for $15 a month (there are currently 3 on my account) makes it even more economical.
To use you example about listening and discovering new music, Apple Music shifts that in your favor. Now, when you hear a song or an artist that you like you can, for no additional money go out and find more of their music, and download and listen to it.
Apple Music has helped me discover music from artists I had already known by allowing me to download much bigger portions of their catalog, thereby showing me music of theirs that I would have never otherwise seen or heard.
I don't see cable TV and a Music Streaming subscription the same. People - or at least most people I know - don't listen to music the way they watch TV or Movies. TV and movies, you might find something you really like, so you buy it usually after already watching it. Music I listen it over and over and over again. I love listening to music. There are artists that I love and I listen to constantly. I always have music on. To me, I see Apple Music as a way to download music I love for one price, $10 a month. That's great. However I will fall in love with an artist or tracks and want to own them. Sure, I can still buy them, but why since I have Apple Music?
Well, now Apple Music goes by the wayside like iTunes Radio did. All that music I paid to listen to and download is gone. I now must repurchase all the music I loved because half my library is just gone. I only download music I love, and even then my library is huge. It has multiple genres, artists, albums. From classical, to R&B, to pop and yes even some country. I would rather keep buying music monthly - even if it totals up to more then Apple Music - to know that I own it and the loss of a subscription service is not going to make me loose it.
Maybe I listen to music differently then most, but Apple Music isn't the end-all, be-all for everyone. Same could be said for any service. Netflix and Hulu work better then cable for me, but someone might see differently for themselves. I loved iTunes Radio. It helped me discover artists and songs that might not be played very often on the local radio, and if I liked the song I would actually buy it.
That said, I appreciate the time I had with iTunes Radio. It was actually one of the better services Apple offered in my opinion, one that actually worked well - even after they tried to cripple it when Apple Music came out. Some may have had problems but iTunes Radio was usually trouble free for me. I have already moved back to Pandora and Spotify's free tiers.
What you will "have to show for it" will be the music you enjoyed without buying. Enjoying no limits on how much music you wanted to hear at any given time, by any artists, in any order. For God's sake, have you ever rented a movie? You pay less than buying it would have been and, for whatever period of time the rental is agreed upon, you can watch it to your heart's content. THAT is what ANY subscription service is about. Seeing/hearing/playing premium content during a limited amount of time for as often as you like during that period for FAR less than purchasing it outright. When it comes to media, people (I am NOT singling you out here) are really greedy these days.
When it comes to music, yes people can get greedy. I know I am. Music was the first real home media before TV and movies. We were first able to play movies at home in the 1970's maybe, but music at home has been around since the 1800's (if you were rich enough). I will keep my stack of CDs in my room for the artists I love and buy singles through iTunes. You can use Apple Music to your hearts content, but it doesn't mean that it works for me.
I hope this now practically dead Radio tab is removed because I know I am not putting up with Zane Lowe and lackluster music they play on Beats One. It's just not my taste.