Nope its not set in the JJverse....they said that like 10 times already.
If they where not trying to push it into cannon ( instead of making a 3th universe) then the klingons would be great. But yeah since they push it into cannon it makes no sense at all.
The only reason i can think of that it goes like this:
augment virus happens and they become more human looking (star trek enterprise)> they hate it and go overboard and look like this (star trek discovery)> they find out they need to live thru it for a generation and they will return to what they should look like ( TOS) > they look normal again. (TNG, DS9, the one who we do not talk about).
And yeah its kinda not star trek so far. ( but i have seen the first 2 episode's...and their is potential)( but i hate the human vulcan person, very poorly written). And yeah star trekiness ...The orville is kicking its ass with this.
- - - Updated - - -
...they have a more "black" appearance because of there actors...Klingons have been ( most of the time) darker skinned. And in this day and age going black face is a bad move ( always was btw).