Depends. My opinion is that in a wood stock, including laminate, pillar bedding is best when done in conjunction with a stress free glass bedding job. In many synthetic stocks or stocks with aluminum bedding blocks, where the material is less prone to compression, glass bedding is usually sufficient.
I usually shoot them first to see how they perform. One particular old Sako 6mm PPC USA of mine has never even been out of the stock - it just shoots perfect as it is, factory wood stock and all. If your Cooper shoots well, it may not need anything. My only Cooper is a Phoenix M-22, so I can't compare.