As an husband, my wife definitely appreciates it if we cook together. I enjoy it, she enjoys it, and it makes our food more delicious. Plus it's am exercise in how you work as a team as a family.
This is how my wife and I operate as well. But because both of us cook, when my wife is busy being a pediatrician, I can take care of the meals for the week. It allows us lots of flexibility, unlike in the house I grew up in where my mom did all the cooking. I didn't really learn how to cook until fairly recently.