Once again, I must point out that the dishwasher may be designed to cut (food) grease but not petroleum oil and grease and also will do nothing for residual heavy metals left behind. The oven is even worse with all sorts of paint aromatics left behind in an area where you later prepare food? yukkkkkk. .. . .
ha ha ha. . "man up" if you want but I guess that term means being foolish with your health (and the health of your lady and/or family) and ignoring the information widely available all over the internet (from reliable sources), regarding the toxicity of used motor oil, paint fumes, etc?
Sounds like utter foolishness to me when you could easily buy cheap yard sale dishwashers and/or ovens for placement in the shop, for these purposes.