The Westside training method was created around winning power lifting comps that dealt with the maximum amount of supportive gear allowed (IPA/WPO).
If you are wearing a double ply squat suit, a double ply pair of briefs under that, plus 3 meter long knee wraps, you will have a problem getting the weight into the hole.... then you have to have the finishing strength to lockout the weight once you rebound.
You will start to pick up alot of the barbell weight from the suit throughout the lift(just like the chain weight), depending on what type of gear you wear. The chains are a training aid for this, teaching you to move fast before you pick up the chain weight.
Basically what I am saying is train towards what your goals are. If your lifting RAW you will work different max effort and accessory exercises than you would if you compete with heavy supportive gear. Adjust the Westside program accordingly.