It might, depending on the analysis method used.
Are you saying your choice of voltage directions for your analysis are the only real voltage directions and that all others then become math tricks?
120<0 + 120<0 = 240<0
or
120<0 - 120<180 = 240<0
or
120<180 - 120<0 = 240<180
There are several choices that can be made for analysis.