Yes, you can sacrifice string alignment in exchange for the centershot quality, but this invites all he problems of bad string alignment. Not always...I have and know many others have made misaligned bows that shoot well without noticeable twist. Personally I avoid setting a bow up this way on purpose because bad alignment has caused me many problems whereas not being centershot is not necessarily a problem.
Some designs let you have both good alignment and the centershot quality, like big shelf cutouts on modern bows, or z-handles and staves with wiggles around the arrow pass. These examples are still aligned from tip to tip through the handle, just not at the arrow pass.