Calling it a science does seem to have been an odd decision. It looks more like a branch of mathematics, from the outside at least.

Engineering... I dunno. The digital realm doesn't seem, to me, to have enough of a split between "design" and "actual device," so we can't really split the job into the engineer's task and the manufacturer/builder/etc.

One annoying thing about this the whole "software engineering" discussion is that often casts the engineers as gatekeeping or being snooty and not wanting to include the programmers. It just seems like a different type of job, though, still perfectly respectable and decently prestigious. Nobody gets angry that we can't be called "Software Chefs" or "Software Conductors."