Should handicapped parking be tiered?

You have a small store or market place that has only a few handicapped parking spaces and usually only one that is van assessable, but any very mobile handicap person can park there. So if you have a handicapped person who noted disability is arm related or one who can walk with a cane both can take a handicapped space legally and if someone comes along who can’t walk they are crapped out of luck. Should handicap parking be tiered with preference going to those handicap who actually have mobility problems and need to be closer to the door as oppose to someone who maybe handicap but mobility wise can travel on foot as the rest of us able-bodied people can?