Many people who support traditional gender roles attempt to establish their arguments based on biological differences between the genders. This is honestly the best approach, not just because it is the truest argument but because it is the most honest. I’m going to make a dishonest argument. Why? Well, because it’s fun.
Let’s establish our counterfactual, let’s begin with the assumption that women are better than men at everything. Yes, from this assumption I can indeed argue that women should still go back to the kitchen. The concept that we will first need to understand to make this argument is highest and best use. This is a difficult concept for people to understand within themselves. You might be amazing at writing, you might even be the best writer in the world. Your grammar is perfect, your stories are perfectly structured, and you don’t have a bad idea in you. Even so, if you were, let’s say, a CEO of a multinational corporation your time might be better spent being a CEO. It could very well be the case that you aren’t the best CEO in the world, but that do to shortages and your own personal experience with the company you are more valuable as a CEO than as a writer. That it is not to say it would be wrong to be a writer, but there are many people who are very good at a great number of things yet only a few of those skills are economically valuable.