I saw some pictures on Aateliermadman's website and then read the source forum entries for it and had to test it myself.
The results are worth trying it yourself. Using a dental cleanser tablet it takes about 15 minutes for, I think, the porcelain dials with blazed numbers. The fine hairlines disappear completely and the bigger once will be reduced significantly. I have also successfully applied the process to painted metal dials.
Of course, the procedure cannot be used for paper-based dials.