Sorry, May have been mistaken then, as there are often different names for different exercises. Especially due to me being over the water from you. However they don't look too dissimilar & one exercise isn't the answer to a problem. Neither is spending loads of cash on a machine. Spend your money on a physiotherapist or a scan - after all you've self diagnosed yourself lol.
I also don't think west side + track cycling/training is ideal either. Isn't their method to use chains, bands and safety squat bars with wide stance squats etc? Personally for the vast non powerlifting population I'd suggest a high bar narrow stance squat in a pair of weightlifting shoes along with power cleans and single leg work.