I know that conventional wisdom dictates that protease inhibitors should be added to lysis buffers when extracting protein to prevent sample degradation. That said, why are such inhibitors necessary when the lysis buffer is denaturing, considering that proteases are proteins? Shouldn't they also be denatured and incapable of proteolytic activitie?
For context, I am using a lysis buffer containing urea (8M), which is a denaturant.