The tie bars (stirrups) are generally installed to resist shear forces. When diagonal shear cracks form in the concrete, the stirrups crossing the cracks keep them from opening up. The stirrups can't do this job unless they are effectively one piece from the top of the member to the bottom. The laps essentially stitch two piece stirrups together into a system equivalent to a one piece stirrup. As I'm sure you know, the stirrups are fabricated in two lapped pieces in order to improve constructability in some situations.
I like to debate structural engineering theory -- a lot. If I challenge you on something, know that I'm doing so because I respect your opinion enough to either change it or adopt it.