The central concession of Computer Science as correctly taught is that a purely theoretical approach will not enable you to do anything of use--while you're still finishing your existence proof, some asshole with Ruby and AWS has already gotten it working "good enough" to get funding and make people happy through trial and error.

Software Engineering is too limited a discipline itself, because it is mostly project management, architecture, and planning--mostly vocational skills learned through (hard-earned) experience.

Computer Engineering is too focused on electrical engineering problems: you can guarantee how data is transferred between registers and how fast signals fan out and whatnot, but what the data is or how it is being transformed matters not.

Computer Science as taught combines both of these things in hopes of producing students that can reason about what they're doing (like mathematicians) and plan projects to execute on that (like software engineers) and to appreciate when actual hardware will choke on it (like computer engineers).

It's a blended subject for a bloody good reason.