In cases like that you should always call and wade through to a real person and let them know what happened. At a minimum, you can get the ball started on refunding any money you spend shipping the defective product back.
Part of the higher price that proof coins carry is the fact that they originally cost a fair amount more to produce. Die and blank polishing, and die lifetime (significantly shorter than uncirculated die) all add to the cost and perceived value of proof coins. None of the
ASE coins are rare by any measure and none are particularly difficult to obtain so variances in mintage have relatively low influence on market prices. Like most moderns, values are more dependent on how tightly the coins are held by collectors than mintage itself. Coins of low mintage that are readily traded may well have lower values than ones of higher mintage that are prized collection pieces.