I love Star Trek, and I want it to be something I personally enjoy. That's basically it for me. I don't give a rat's ass about continuity, honoring this or that, etc. etc. etc. I like starships, phasers, Vulcans, transporters and Klingons. I could care less about how dark the bridge is, what the uniforms look like, the design of the communicators, the opening music, serialized vs. episodic, Roddenberry's Vision, starship design, the font used in the title sequence, alien makeup etc etc etc. I just don't give a shit.
This is how I feel as well to some extent (and I'm a fan of all the new shows), but I do care about continuity a bit more but don't care about things from the 60s being ignored/retconned/visually updated. My introduction to Trek was different and later than yours (mine was in the late 80s), but also some of my earliest childhood memories are of watching TOS/TNG. I think I was in 6th grade when I got into DS9 through syndication reruns of the first 4 seasons (and started watching season 5 as it aired) and I absolutely loved it. It remains by far my favorite Trek series. I loved how it was still Star Trek but so different from TNG and TOS. I didn't like Voyager and ENT as much because they felt like they were trying to copy the same TNG type formula rather than moving in new directions.
I've seen some people say about Disco and PIC that they don't like them because they don't "feel" like Trek. I've even seen some say they are good shows and would like them but don't because they don't "feel" like Trek. This latter point doesn't make sense to me. If I enjoy something I enjoy it. It doesn't have to feel like a certain thing of the past to be good. Being different doesn't make it good or bad and neither does being the same. I think one of the current Trek execs made a comment about how Star Trek can be many different things or doesn't have to just be one thing. I agree with that - doesn't mean it will always work though. I also feel like some of the fans look at the old shows through rose colored lenses probably due to nostalgia. Yes, they are great shows and I do think that none of the new shows have consistently reached the peaks of TNG/DS9 - but they weren't perfect either. I find the new shows actually more consistent. The highs aren't as high but the lows aren't as bad either.