I use the left side slot to keep my excess tie strap in after it is buckled. Just loop it through. When my saddle is not in use I don't dare use the left slot. My system of putting up the tie strap greatly reduces the time used when saddling up. I hate it when other people put up my saddle and do it their way. Mine us much easier!
I hate that too. The girls just flip stuff over the saddle(although I do the cinchs to carry because I'm so short I end up triping over them if I hook them up) and leave it that way. Then I have to go and untangle everything when I use the saddle. I have my set way to do the tie strap and it's put up right everytime I unsaddle so when I go to saddle the horse all I have to do is tug and it's all free. No trying to unwrap the saddle like a Christmas gift.