I tried that myself as indeed the perk points are not unlocking correctly if you put yourself directly to level 20 using the option in the editor / trainer. Using the XP option, it works for the perk itself (strength for instance), but I noticed that the big "LEVEL" perk points that you are supposed to unlock every two levels are not working correctly. Try that for yourself and tell me if you manage to get the perk points for the "LEVEL" tab!
No, unfortunately I can't get the Level Perk points working with my method. Not a big deal for me, for useful for others to consider.