Yes, in the original drawing, the dishwasher was close to the sink, but if the cooktop was not in the corner (and not taking up prime counter space on the fridge wall), then it would squeeze that side of the U.
This is how our current kitchen is -- the open dishwasher is right behind the stove. It doesn't seem to impede our workflow much.
Outward opening doors or the bumpout you suggested in a later comment both sound fine to me. I am not sure why doors open in all the time -- it wastes living space.
Part of the width of the sink peninsula was to allow for dirty dishes to be moved from the table and put behind the sink, and then flow from left to right there (drying rack to the right of the sink).
Re: Vernon's sketch
Yes, in the original drawing, the dishwasher was close to the sink, but if the cooktop was not in the corner (and not taking up prime counter space on the fridge wall), then it would squeeze that side of the U.