For me, having them look like TNG Klingons doesn’t even solve the problem because ENT had implied that shouldn’t happen until the TOS movie era.
That Enterprise arc was clearly intended to apply a (totally unnecessary) in-universe explanation for why Kirk’s adversaries were just guys in vaguely asian facial makeup, but there’s no reason we have to extrapolate that the Augment virus was a widespread and incurable until the late 23rd century. It could easily have been a relative blip on the radar; aggressively quarantined and/or cured much earlier than anticipated.
The idea that they also needed to make an explicit reference to the augment virus being cured, or explicitly point out “hey, these guys would look less different if they weren’t shaving their heads!” strikes me as absurd. These are not difficult conclusions to reach for someone motivated to find them, and there were people mentioning those possibilities pretty much immediately after the first Discovery trailer dropped.