I’m going to play Devil’s Advocate here and come at things from a business perspective.
If a CEO of a company is asking for a particular feature, that feature becomes important and a priority due to the mere fact that the CEO has the final say in who that company does business with. Keeping them happy is essential to keeping the business relationship in top form.
What this means is that your target audience for this feature becomes very, very narrow. In a way, that’s great - it gives you the ability to focus on a small group of captive users, and an opportunity to work directly with the head of a close business partner.
This now becomes part of the customer service/PR part of UX which is essential, but not often talked about. As UXers, we interact with our users and customers frequently. That means we must be good representatives of our employers when it comes to facetime with our users, whether they’re Joe Blow on the street or Ms. CEO from our largest business partner.
I would take this an opportunity to flex your UX skills on a high-visibility project that crosses business boundaries. You’ll be able to show your UX research and design skills in a way that will help build understanding of and support of the discipline within multiple organizations while building connections that could be immensely helpful in your future career.
Sometimes our job is to ensure that every feature we develop is useful for all of our users. Sometimes our job is to build features to help key business partners succeed. Those two aspects of design don’t always overlap, but it’s important to remember that they don’t have to intersect for a project to be valuable from a UX or business perspective.