I am the kind of person who enjoys "big weird" scifi like Stanisław Lem. Stories about trying to relate to and find common ground with something so alien that the prospect of even understanding is basically hopeless. Star Trek usually doesn't do stories that, which makes sense as it often uses alien races as allegories or stand-ins for real-world human relations.
That said- I thought those early Klingons were super weird and scary because they were just so alien. It really made sense thinking about how it took a century before they could get to the events of Star Trek VI, and it made the Khittomer accords feel like so much more of an accomplishment. Like- you made a treaty with WHAT?
And just aesthetically their ships and armor looked like something out of HP Lovecraft or HR Geiger:
This is not to say I dislike how Klingons were portrayed previously, kinda like Mongols in TOS or Vikings in DS9, just that they never felt scary to me. They never felt like warriors. I was never afraid for the gallant crew of the Enterprise D (a science and exploration vessel) going into battle against Klingons. But I really enjoyed the alien-ness Disco tried to go with. Anyone else with me?
EDIT: PEOPLE I SAID WHO'S WITH ME NOT WHO ISN'T CM'ON 
On the viewer's part or the creator's?
If the former, how far do you take it? Instead of Picard's complicated, diplomatic solutions to complex problems, what if he just used mind control to resolve every conflict? What if they just made the Enterprise's shields invincible to damage so there's never a risk of the ship getting damaged? The show has to exist within a framework of rules and 'truths,' for lack of a better word, or everything becomes meaningless because nothing matters and there are no stakes.
If the latter, I'd have to agree. It has to be difficult to jump into a franchise with so much history, but it feels like they changed the Klingons just so they could put their own "stamp" on the show. What reason is there to change them in the first place? Humans and Vulcans still look the same.