The canon answer is that while the warrior caste dominates klingon culture, it is not the only caste. There have been a few non-Warrior klingons on screen in a few episodes, and they've been portraited as being fed up with the warrior bull****, or as having adopted the warrior mindset for their actual job; There was a scientist in one DS9 ep that mentioned "honorable combat against ignorance" as his calling. In Voyager, B'Elanna is told that, although she isn't a warrior by herself, her accomplishments as an engineer and her ability to keep Voyager battle-ready make any of Voyager's victories hers.
So, this whole "no klingon scientists" thing? It's very much an instance of the various viewpoint characters in the shows not actually knowing all that much about klingon life.
You forget the whole "let's explain why TOS Klingons look more like Johne Wanye in
The Conqueror than Micheal Dorn as Worf"-arc in the final season of
Enterprise has all that canon contrivance in one spot
But of course we can't trust the audience to just accept external limiting factors to media production. /sarcasm
I mean, according to ST canon, the klingon empire was due to be completely collapsed within 50 years after Praxis blew up if they wouldn't change their imperial ways, but some 80 years later they would totally dominate the Federation militarily if they had chosen so.
In the 1800s people looked at rising population in Europe and though humanity would come to an end because of a Malthusian catastrophe - spawning a 150+ year oppession with eugentics that managed to "revitalize" (strict word sense) the ideological backing of so ... many ... problems ... we ... still ... live ... with ... today
In the 1970 people thought we would run out of oil by the 2000s - funny who that projection turned out...
Not to mention all the optimistic projections that didn't come true ...
... since the 1700s people have conjoured up a post-labour mechanized utopia that would achieveable in a few decades, because combustion engines existed ...
... since the 1880s "the wireless" has inspired people to think of a world where/when out ability to communicate across distance with little or no delay would make us all more connected and empathetic people, once it became widely availible ...
Not to the failure of these to come to pass didn't invalidates the intermediate progress they have enabled, e.g. the current reality shock about just how far the undesirable (euthemism) present we are living in is from tolerable one we imagined ourselves to live in might just be the catalyst to explore the causality that lead to our present condition to its fully richness (considering our generation might actually be the first capable of that in many places around the world; of course for that to happen you have to acknowledge that problems have causes that do not relate directly to the currently most visible symptoms)
... oh - I went off topic there, sorry...
As to why I am here:
Now I might be a week behind, but I don't see Disco Season 3 to be substantial different from the previous flawed seasons:
- The failure of authorities, or the percieved failure of authorities, as the cause for conflict - CHECK
- That it is sentiment rather than rationale that make characters aspire their better selves - CHECK
Still more attractive to me than The Expanse or The Mandalorian, neither of which is bad just lacking the same qualities.