The mullrat-look for klingons in season 1 was a dumb idea. And they even gave (behind the scenes - thus non-canon) explanation that klingons can't grow hair. That was stupid. Even though if in "real life" changes in hair is much less than biological changes - in a fictional setting the broader strokes count more. And in this regard, S1 ditched ALL the visual cues indicating "klingon" - the mongol beards, the shoulder belts, the D7, the brutalistic design language. That. Was. Dumb. Also, it probably wasn't so much the result of a deliberate design decision, but because the original intent was a semi-reboot, from which they now have walked back, and introduced all the "familiar" elements back.
Which was the rght decision.
Now, do the new klingons still have too much latex in their face, double nostrils, and especially those new, ,weird reptilian fingers? Yes. But hell, during the run of DS9, the klingons at one point had Bajoran noses, and their forehead had everything from single ridges (TMP) to what can't be describes as anything else but cancerous hill landscapes (TNG's clone of Khaless).
So yeah. The new klingon look is nothing more than another make-up upgrade - like when they gave forehead ridges to Romulans, or moved the Antenna of Andorians from the back to the forehead and made them moveable. That's okay. That's actually appreciated, and what they should do.
But even if the changes (hair, eyebrows, beard) look very minor, they are a huge shift in the overall approach of the portrayal. From a semi-reboot to an upgrade. And thus a right one. A completely, 100% justified choice, and a good one at that.