Heresy.But can be handled in the grey water filtration process. Grease fat and other crap can't easily.
Hence why we prewash dishes before they go into the dish washer, as the dish washer water also ends up in my grey water system.
Anyway - kitchen waste water, including dishwasher and sink, is considered to be "blackwater" as opposed to grey so you're not gaining anything by prewashing except for a higher water bill and it shouldn't go anywhere near a greywater system.