Channel balances
To start, ignore the shape. Your balance attachment is strange-looking, but the basic dimensions are what matter. Do the measurements match closely?
Most importantly, the depth dimension (along the bottom) is the only difference between the two shoes, so I can't tell which one you need just by looking. Only a careful measurement can determine which you need. If neither shoe is exact, measure the depth. The 15-001 is 1-1/8" in depth, and the 15-002 is 1" deep. What is the depth of yours?
Sometimes 15-001 wears down with age and ends up closer to 1-1/16", and similarly, sometimes 15-002 wears down to 7/8" or so in depth, so keep that in mind as you compare dimensions.