Yes and no. None of the newer shows (with the exception of Prodigy, which I watched with my kids) do much for me. Some of them are quite well crafted and made with obvious love for Star Trek as a franchise. But the acting, writing, direction, visuals, inter-character dynamics, 'feel,' etc of the newer shows are just not what I am looking for. Even with the best of them (SNW, I'd argue) I found myself losing interest in an episode halfway in, turning it off, and never returning. I just couldn't shake the feeling that I was only watching the show because it was a "Star Trek" show, and that (if so) there are better things for me to be doing with my finite free time than checking boxes on a fandom scorecard. But I don't really know if that is "aging out" of Star Trek so much as it is the uncontroversial reality that the modern shows are quite different than the pre-2005 shows (and starkly different than TOS, which is my jam). It shouldn't be surprising that many of us who like the older stuff aren't going to like the newer stuff. A much more extreme example, but I don't think anyone who loved the BSG remake would be expected to love the Dirk Benedict version (or vice versa) just because they both have "Apollo" and "Cylons" in them.
I *did* feel like I was aging out of, or had exhausted, TOS 12 or so years ago when it first showed up on Netflix (which saddened me), but I randomly came back about 5 years ago and enjoy it now more than ever, to my immense surprise. I think what has helped me is that I limit myself to watching whatever episode is "playing" at the moment on Pluto when I find some TV-watching time. This makes the experience feel more like watching it on Saturday afternoon syndication in the '80s, take it or leave it, catch as catch can. I have wound up watching (and enjoying, to some extent) episodes I would never have sought out (like Mudd's Women or Assignment: Earth).The paradox of choice, I guess.