Your grayscale being off can affect the tint markedly, so you gotta start there.
I was at a Pioneer 510 owner's home yesterday - 9 year old set - and his grayscale was really bad, lots of blue in the darks with the user black level up where it needed to be to see detail in dark areas after the optics cleaning I had just done. When I arrived his primary complaint about the picture was that it had grown dark over the years, which I knew was exactly what happens on these older Pioneers.
To get the best pic possible under the compromised circs before I changed anything about the grayscale tracking, I altered the tint on the BD version of TFE to get as close to accurate fleshtones as possible. This put the tint at about +8 into the green side of the bargraph, which did give great fleshtones.
After redoing the Screen controls to beef up and rebalance the 3, so the user Black Level could go back to 0 (from needing to be at +14 to see
any shadow detail) and the blue in the darks had been tamed and gotten rid of, the tint had to go back to zero (from +8).
This restored the great fleshtones now available so far.
Hopefully he will have me back to do the rest of the work of the basic cal package, but with the repair his set needed - it had the infamous intermittent performance problem endemic to 99% of the Elite CRT 510/610/710 line - he had spent all he could for one day. After the repair and the deeper optics cleaning, which he and I had already contracted for over the phone, upon my demo'ing what else was possible with his pic he added optical focusing - all 3 lenses were out of focus despite the visit from Magnolia way back when they bought the set, with promises of "focusing and convergence" - and basic grayscale restoring.
He'll sit on its new performance for now, which was already head and shoulders improved, his whole family and a couple of guests were all in awe already, at the restored depth and punch his set now has, and how they can all now see the grain of the film used to shoot TFE, at least in the center of the screen...

The convergence was of course altered by the focusing, as there were different levels of refocusing needed on each color, changing the size of each pic, which I warned him ahead of time would happen. He says he wants to do the point convergence in the user menu to take care of that, which he can do, but of course he can't use fine external grids for the high precision part like I can, which would flesh out his high precision to ALL parts of the screen, rather than just the middle...
We'll see if I have shown him what's REALLY possible now, on his $5000 set. But these basic premises also apply to all CRT RPTVs, including Hitachis...
Hitachi is the ONLY brand where you can use the User point sys for a permanent high precision convergence job, without needing to do it in service menu. Of course the high precision part is only after you reduce your too-hot factory set light level at the grids, which is only available in YOUR sm on the more recent model year Hits, check with the intrepid owners here for that info...

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