SHould the vanity drain look more like the setup for the laundry?
I think I would just have to lengthen the tailpiece and attach a 45 to the stub out to be able to match the wall bend to the p-trap.
Your biggest problem with the one on the right might be keeping everything together when people start putting bottles and boxes into the cabinet and bump the drain line. And it WILL "foul up" and create odors because of the long distance ahead of the trap.
Also there are what appears two slip-joint nuts I believe are missing. One on the horizontal piece between the 2-90s and one on the piece that goes into the trap adaptor. How can two compression nuts be missing but no leaks?