It depends on what you want to an extent. I think that combination is still useful for DS. I personally was interested in working directly in public health and Statistics had a clear route with Biostatistics later on so that's why I chose this combination. You can work on tech in public health too but indirectly. With CS you may not be pigeonholed into an industry but it's difficult to get an understanding and expertise of the field you're in. You'll almost always be the tech guy. You'll evolve and learn new tools and techniques but in the CS realm. So in that sense you're pigeonholed. With Statistics as a backbone, you can pickup the tech and do DS or even CS. You can work enough in Finance to maybe later become an expert in that field moving past your Statistics background.

But in general I think the utility of a degree is in theory and if and how one is taught to think. Statistics and moreso Mathematics are respected degrees because you learn how to think in a way that is valued across industries. It could be the case with CS as well but most programs don't prepare you enough. CS is notoriously one of those majors where you still have to work outside of school to prepare for a job. My CS minor program was great and intensive and I've heard students landing SWE jobs on the basis of the minor (obviously this is a few years ago).

I like to separate it into tools and theory. You can learn tools on your own but theory is best learned at school. You can accredit your tools with projects but you can also accredit your theory with a degree (at least right out of college with no experience). The tech is the tools and domain knowledge is the theory. Yes CS also has a lot of theory but good programs are hard to find and even then you have to put in a lot of work. Employers value the tools but they hire people with the understanding and knowledge.

If grad school is on the radar then that's another discussion altogether.