It avoids criss-crossing on the top of your foot and relieve the pressure that could press down tendons and sinews. It was a bit tricky for me to get used to and I resisted for a long time. When I was in NZ, I got this pain on the top of my foot and that was when I finally listened to Arthur and converted to his lacing system. It really helped. I used to get this pain once in a while but I never had that again. I admit that it's not for everybody (meaning, not everybody needs to try it); not for all the shoes out there. But if you have had a problem with a pain on the top of your foot; or if you've had things like Morton's nueroma (I've never had it but I heard people who've had this problem and tried Lydiard lacing and helped), just try it and see how it goes. If it didn't work, why stick to it? But if it helps, try it. I've seen elite runners like Rob de Castella, Dick Quax, Pricilla Welch do this lacing. I could be wrong but Carlos Lopes and those Djibuti runners might have done it as well (it looks quite obfious if they do it). Eriko Asai, a sub 2:30 marathon runner (woman) in the 80s, did it as well. I talked to her coach, Isao Sasaki, and he told me that he and his runners tried it and liked it so the entire team (NEC) converted to this lacing system. If it works, why not?
And what to do when facing shoes with an odd number of shoe lace eye-lets (I faced this problem while relacing my Nike Frees 5.0):
As you know, if you have the odd number of shoe lace eye-let, you really can't do it. In this case, I'd either punch another set of holes on the top or bottom of the sides; or do conventional criss-cross lacing either on the top or the bottom (usually on the top). Sometimes the material is so soft that you really can't do this lacing because the material would wrinkle up. Well, then I guess you can't. I remember when I brought him to the US in 1999, the shoes I got for him had one of those D-ring type of shoe lacing system. When I went to pick him up at the airport, I could see he had struggled to do the lacing. So I cut all those D-ring things off and punched holes along the side (even number) so he could do his regular lacing. Be a little creative.