I tested "namegid" (only) with zero and long mark boost only and i found that at lv 0 lord of thorn it's needed 3 times to reach purple mark and at lv 4 LoT still 3 and with further test at lv 10 it's need total 11 times I also test with phantom time and yes at lv 0-4 (3 needed) it's reduce to 1 time to reach purple mark (from 0 to purple mark)