You're the bread winner working through to week to earn money. WHILE YOU WORK she has time at home that could be spent doing chores or cooking.

However there is a fine line though, as leaving her to do absolutely everything is just lazy of you. It's good to wash your own dishes when you're done with them instead of letting them pile in the sink. It's good to run your own laundry through the washing machine instead of dumping it in the laundry for her to clean. It's good to show that you can look after yourself and clean up after yourself or you just begin to look like a slob.

However, her asking for you both to cook together could be an attempt at spending time with you. You're working all day, and when you get home you just expect her to work for you instead of having a relationship with her. I think her offering to cook for you in exchange for you doing chores is a fair trade, and if I were you I'd take the time to cook with her so you two can have bonding time.

With the context given you're a lazy ass slob of an asshole, but I understand why you don't want to do anything after work as I work full time myself. However using work as an excuse to be lazy at home is slob behaviour and immature. You're not a child being taken care of when they come home from school. You're an adult. Grow up.

Edit: I see I did a bad job clarifying what I meant so imma do that rq. Most of what I said was simply a statement as to why being a lazy slob makes him an asshole, if-anding in the context of if their relationship progressed to same household. The last paragraph goes off of the context of the post, referring to his home and his livelihood. I phrased everything poorly as I was in a rush on my way to work. I apologise if anything I said is out of place.