Like others in the responses, we split the labor, not chop veg while doing doggy style or whatever that couple in the picture is doing.
Generally, I cook, my husband cleans up after.
Sometimes I ask my kids to prep or I prep and ask them to cook (if I have to leave the house).
Occasionally I ask someone to open and assemble bagged salad while I cook, that's about the only "cooking together at the same time in the same space" I can think of off hand.