Honestly, it doesn't feel different to me. Slowing it down would feel weird, imo.
The whole idea behind League was that changes are really healthy for a game like this. I'm not sure if you're familiar with this series, but if you aren't, take a look at this video, which specifically uses League as a positive example of what they call "perfect imbalance."
https://www.youtube.com/watch?v=e31OSVZF77w
Now, I'm not sure if I necessarily agree with them 100% on this, but it's important to understand that Riot isn't doing this by accident. If the constant changes are a bother to you, you should be aware that it isn't going to stop. Ever. In fact, if Riot ever did end up with a "perfectly balanced" game somehow, they would likely intentionally change it to keep the changes going. "Change for the sake of change" to some, except it isn't, really. It's change for the sake of freshness.
The fact is that the banter on these boards is pretty low level. As a someone in a technical field myself, I have a lot of empathy for Riot's designers, because I know something that a large portion of these boards don't; Riot knows what they are doing WAY better than we do.
A lot of the ideas and criticism we level at them seems really innovative and cool to us, but it's likely that Riot has either tested those ideas already, or can point to examples in other games and explain why they aren't doing it that way. They aren't dummies. That doesn't mean that their design team is perfect, and that's why I still spend time here pitching ideas and bantering a bit with people. But the reality is that it's only a VERY small percentage of threads that give them ANYTHING new to think about (at least when it comes to the gameplay. Creative stuff like skin concepts is a different matter).
We aren't educating these guys on game design, any more than someone on these boards could educate me on Inorganic Chemistry (my area of expertise). The primary use of them is to get feedback, not insight. Those two things aren't the same.
So, maybe I got a little off topic, but maybe you already see my point. You say "the only difference is that one has morphed and changed into something else." To me, it doesn't feel like "something else," because the entire POINT of LoL was to avoid stagnation to begin with. The constant changes feel like home to me, because that's what I signed up for.
As I said to HellsTrueKing, I fully acknowledge that Riot could back off damage later, and I would support it if they did. The reason I posted my first reply to the OP was because there was a hole in his way of thinking. The "problem" (if you think it is a problem) isn't as simple as he claims, and we aren't the best people to decide what decision to make. If anyone thinks they are, I challenge them to make a better game to compete. It isn't as easy as it looks, and these guys are pros at it. They run the most successful game for "core gamers" (as they like to call us) out there. There isn't anything more successful than this.
You can argue that WoW and Runescape paint a picture of warning for Riot, but the fact is, they are WAY more educated that any of us about how and why those games have fallen out of favor while LoL thrives. The aren't ignoring that point, mind you, it just isn't a new idea to them. Obviously, they don't think change was the inherent reason those games "failed." It was about the nature of the changes. If they aren't smart enough to know that, they wouldn't have gotten this far.
So, in conclusion, I typically find reasons to like any given patch they way it is. Because that's the whole point. Right now, I really like playing Taric, a champion that I used early on but hasn't thrived in awhile. I've been working out new builds for him and trying new things. Usually mild perturbations in ranked, because it's fun. I enjoy it. I recognize that it's not perfectly balanced, because it was never intended to be. It makes the game more enjoyable than constantly trying to fix it.