As it turns out, there are 24 Klingon Houses that exist on other Klingon Planets. And the conditions of each planet, created axioms for diverse cultures. So Star Trek: Discovery wants to explore them, as they begin to form an empire...
"The empire is very big. They don’t all grow up on Kronos. They don’t
all live on the same planets and certainly those different planets
would have different environments. So how would the cultures have
evolved differently?…We tried to come up with cultural axioms for each
house so each looks different and they bear a cultural patina like our
cultures do here on Earth."
https://trekmovie.com/2017/08/03/stlv17-designers-explain-why-star-trek-discovery-klingons-are-bald-and-more/
"What can you say to reassure us that we’re not losing the Klingons we
know and love?” a furtive audience member asked during the Q&A
portion. Mitchell assured the crowd that the recent publicity still
image released was of one Klingon, from one house. “We will see all 24
houses and the leaders among them,” he revealed. The houses will be
explored, and the physical and ideological differences between them.
L’Rell is part of two houses, Chieffo explained, and the conflicts
arising therein, as well as how she is viewed by the Federation versus
her own people, will be explored in
depth."http://www.treknews.net/2017/08/03/star-trek-discovery-cast-klingon-houses-stlv/
#UPDATE - Further Explanations from EPs at NYCC
Building from an episode of TNG:
“You might have noticed in the trailer, there is a bit of a new
aesthetic going on,” Chieffo said, attributing the hair to Discovery
’s makeup effects department head Glenn Hetrick. “He was inspired by
Season 6, episode 23 of The Next Generation, ‘Rightful Heir.’”
In “Rightful Heir,” Lieutenant Worf feels spiritually adrift and makes
a pilgrimage to the Temple of Boreth, where witnesses a miracle: the
return of Kahless, the first Klingon emperor and guardian of their
afterlife, prophesied to return and lead the Empire once more. Worf
eventually learns this Kahless a clone created by overzealous priests.
It is the Kahless clone who tells the legend that inspired the Season
2 redesign:
“I went into the mountains, all the way to the Kri’stak Volcano. I cut
off a lock of my hair and thrust it into the river of molten rock
which poured from the summit. The hair began to burn, but then I
plunged it into the Lake of Lusor and twisted it into a sword. And
after I used it to kill the tyrant Molor, I gave it a name: bat’leth,
the sword of honor.”
“In the spirit of Discovery, we took that one little beautiful seed
that was planted from an earlier iteration and expanded on that. We
see that in a time of war, the Klingons would shave their heads and,
in a time of peace, we start to grow it back out,” Chieffo said. “I
really love the symbolism of that.”
And about not following suit in the Dominion War
“The Dominion War takes place more than 100 years after the events of
Discovery,” she says. “Traditions change and are lost in time. Much of
what T’Kuvma predicted about homogenization and assimilation of the
Klingon race occurs after the explosion of Praxis & subsequent
political shift.”
Chieffo is referring to the destruction of the Praxis, the moon of the
Klingon homeworld of Qo’noS, as seen in Star Trek VI: The Undiscovered
Country. The Klingons mined Praxis and it was a key source of energy
for the Klingon Empire. The moon’s destruction caused a political
shift that ultimately led to the signing of the Khitomer Accords,
which turned the long antagonistic relationship between the Federation
and the Klingons into a relationship between peaceful allies. Signed
in the late 23rd century, the Khitomer Accords were still in place in
the late 24th century and informed the relationship between the
Klingons and the Federation in storylines featured in Star Trek: The
Next Generation and Deep Space Nine.
Chieffo’s assertion that the peace treaty fundamentally changed
Klingon culture is supported by episodes like Deep Space Nine’s “Blood
Oath,” in which Klingon characters like Kor, Koloth, and Kang - each
introduced in the pre-Khitomer Accords era of Star Trek: The Original
Series - vaguely comment on how the old Klingon ways have fallen out
of favor since making peace with the Federation.