Scott, sorry, I didn't mean to imply that there would be any difference in how this works between a line array and a trap array, although getting two full trap arrays per side aimed and flown would be quite a pain for any large audience.
The long and short of it is, if you can afford to carry twice the PA to every show, there are definite sound quality advantages to using one only for vocals. The interference that you will get is almost nonexistant compared to what exists when running identical signal to two overlapping speakers not designed for it (say, two generic 15"x2" arrayed flat) and I talk about it more as a textbook case so nobody thinks it goes away. It exists in the same way that any two sources reproducing the same frequency separated by more than a half wavelength or so will interfere... since the source material will be different between the two, however, the interference will be constantly changing and audibly insignificant, especially compared to the benefits of running the second PA.