Again, it comes back to feel and I don't feel (arbitrary, I know) that the Klingons are wrong. Just different.
When it comes to how something looks, "different" is... wrong.
The ships are a quibble in DSC, but I quibble over the fact that Mirandas and Excelsiors still show up in The Next Generation so what do I know? Seems stupid to me.
I actually have less issue with the ships in general. Aside from the DSC Klingon Bird of Prey being the single biggest pile of garbage ship ever in Trek, anything else is... fine? I even like some of the designs, and I can even make them work in my head alongside the types ships I would think be there.
Same with the uniforms. I like Discovery's but it didn't a different touch. Picard's were the same way. Just not quite there.
I can take uniforms are largely irrelevant, to a point. If they did another show set during the TNG era and they had some different uniform... i'd be miffed, because I know what the uniforms should look like. The DSC era? Meh, uniforms can change quickly enough I don't have any issue.
The S2+ PIC uniforms were nice. The S1 uniforms were on the bland side, but I appreciated that they looked "right". The flashback uniforms were snazzy, should went with those.
So, if I redid the Klingon make up to look more "right" (again, arbitrary to me given the vast history of the design) then the issues go away?
For one, I really don't see much difference in the design from TMP onwards through ENT. There are variations, but they're minor.
But...
Does it make all of the issue go away? No.
Some? Yes.
Enough for me to not really complain about it? Probably, yeah. Even if they went more like the Kelvin movie Klingons? Sure. Close enough. Hell even if they were... Season 2 Klingons from the get go. I still wouldn't LOVE the redo, but even the S2 versions were much, much better. And then SNW... great. Nailed it.
Hell, honestly even if just didn't do the weird Xenomorph elongated head, and kept everything the same on the S1 Klingons, I could probably get past it.
Discovery is failed for me on multiple levels. Yes, I absolutely despise the aesthetics (the early ones anyway, post-time jump... meh, fine.). But... it's also just not a good show. If it was a really awesome show and had the aesthetic issues? I could probably be more apologetic. Or even flip, if it looked the way I expected it to look, but the writing was the same? Meh, i'd still probably give it more of a pass. But it both looked dumb and was written terribly. It's not *ALL* bad, there is some good hidden until the pile of garbage, but by and large... ugh.