It's interesting how you'll often, in culture and media, see computers described as cold and inhuman. Like, I get it, of course. But in a way, there's also something very human about working with them, because every part of the stack was designed, meticulously and painstakingly (or maybe haphazardly) by other humans. The analog EE might worry mainly about the laws of physics, sure, and as you said, the CS theorist might fiddle with pure mathematics. But it seems the majority of working software engineers, and even a good chunk of electronics designers, will spend their time dealing mainly with things designed by other people.
I get the impression it's not the same as like you said, the biologist that deals with the squishy, incomprehensible products of evolution, or the chemist and physicist that have to try to understand stuff like quantum mechanics. Those are the "cold" fields to me; ours is positively warm and cozy.