The only reason not to and I'm not sure it applies to you... Some axles are arched in the middle and have spring perches welded on. When you flip the axle you change the camber angle because the arch is now down instead of up. You can still flip an arched axle, but you have to cut off the perches and re weld at 180 degrees. Your picture does not have a spring perch, so you are probably good.