I've graded with SpeedGrade which doesn't have a hue angle tool without issue. I've done some grading on Resolve without using any tool like that.
I've graded (as far as one can) in Lumetri and preferably with the Ripple or Elements panels. Never had an issue moving skin hues.
This isn't to say that the hue angle control isn't a nifty UI for use, and I strongly suggest you file a bug/features request for it to be added to Lumetri workspace.
To shift skin or other hues I've used which ever tool seemed most applicable to that clip ... from hue ring (an odd but still useful UI to me) to secondaries ... but mainly the color wheels.
I neutralize with the Basic tab, I've got 9 of its controls mapped for the Ripple and Elements panels. This makes that nearly uselessly slow tab quick and agile and we'll suited for the task. Then use perhaps some of Creative but mostly wheels and secondary to season to taste.
With media showing above 99 on the RGB Parade or Waveform (luma) scopes, I'll throw an RGB curves effect in front of (above) Lumetri in the ECP to get the signal back where Lumetri is allowed to touch it.
At need I'll throw a second installment of Lumetri in. If I need more I'll use Patrick Zadrobilek's nifty little app so I can use both PrPro 2017 ... and grade via Direct Link process in SpeedGrade 2015.1. Then return to PrPro 2017 via his app again.
Personally ... I've never found either Fast or Three-Way corrector to be fast or at all intuitive. Nor did I like what I could get out of them. And of course there are those who love them. Different strokes ...
Neil