Nope.
I mean, I know this is your favorite hobby horse, but nope.
Star Trek doing the unexpected with characters is a hobby horse? Ok.
Why? Spock is one of the most popular characters in Trek history. As a character he has featured as part of advertising. To what end would it serve?
It leaves more time for whatever new characters are created to be written so well as to become just as iconic, if not more so. Sure, Spock would still be there to interpret sensor readings and make the odd comment on logic or humanity, but we would become so preoccupied with those new characters that he would end up being the known quantity by comparison.
Bald fell out of fashion with the dishonor of Chang.
There is nothing on the show to suggest this is some kind of a rule for all Klingons and war in general, as opposed to merely the orthodox followers of T’Kuvma and maybe that particular day and age. There are even comments in the recent art-of book to the effect that S1 went too far with the uniform look, and the intent was originally just to show even more diversity among Klingons.