It's like people don't remember the time when we just ignored the physical differences between old-style and new-style Klingons and Romulans, the use of TNG sets in TFF and TUC, the fact that the first Cardassian on screen had facial hair, and the first Trill lacked spots.
Klingons were eventually explained in story, making it a difference people in the universe saw, not just the audience. Plus, the design evolved through the timeline. And each change after TMP was a refinement. Still ridges, still long hair.
The sets are essentially the same design from the films so that's not weird or a problem. The one Cardassian had hair but facial hair gets shaved off sometimes. There's a big difference between a redesign after one appearance and a redesign after 500 episodes. The first Trill makeup changed because of Terry Farrel but they figured one guest appearance shouldn't constrain them with a regular. But even that difference was explained in the fiction.
The problem with the Klingon redesign is that they missed an opportunity to diversify design by also using TOS and TNG designs. They had story potential from ENT to use in their war, but they chose to ignore the canon that could have enhanced their story. Imagine Voq as a smooth Klingon not an albino, versus T'Kuvma as a ridged one, pissed the Fed cursed their race! But that stuff was totally ignored.