Permanent Eyeliner Flaked off Leaving Very Little Color After 1 Week?

I had permanent eyeliner applied to top and bottom lids. Color started flaking off after 3 days, by a week much of the color is gone. I contacted the technician that said that is very normal, and that it is the 2nd application or touchup that usually provides the best results and that the color stays put better. That doesn't make sense to me, but is it true that the 2nd ap stays adhered better than the first try?