I don't doubt you, in fact I've wondered why it doesn't happen at times- having seen the problems you can get with liquid washing fluid in washing machines. In the past I've noticed quite a serious build up of 'gunge' in the waste. It seems, from what I've read on the net, the grey gunge is a mix of fat (body oil), washing fluid, and hard water deposits. Given there will be fat in dishwasher water, while the water is softened. unless the detergent is very different, why no gunge?
Changing back to washing powder seemed to do the trick with our washing machine, along with convincing my wife not to use too much.