I'd assume this is for the same reason that they look "backwards" on military uniforms:
The regulation states that when authorized for application to the proper uniform the American flag patch is to be worn, right or left shoulder, so that “the star field faces forward, or to the flag’s own right. When worn in this manner, the flag is facing to the observer’s right, and gives the effect of the flag flying in the breeze as the wearer moves forward. The appropriate replica for the right shoulder sleeve is identified as the ‘reverse side flag’.
wow. i have NO idea where i pulled this information from in therecesses of my mind but as soon as i saw the pic i thought "stars forward, always!" which someone must havetold me as a kid but i never knew why, so, thanks for that, mg!
"The standard you walk by is the standard you accept."--Lt. Gen. David Morrison, Austalian Army Chief