I held this point of view for a long time but, after lurking at r/engineering, I've learned that their jobs are (depressingly) similar to ours. I.e. it's almost never deriving things from first principles, but rather trying to quickly bolt together a solution out of pieces looked up at different vendors' catalogs. Most engineers don't even remember the basic equations they have learned at university.
> Heck, I would be offended if someone called me a developer rather than a programmer.
It depends on the specific job, but currently, I can spend 30 minutes changing one line of code followed by one week of deploying, testing it, making sure the configs are all right etc. So that's 30 minutes of programming followed by one week of "installing dishwashers" (as the joke on the team goes). Lately, I see myself more of a software configurator than creator (my nominal job title is a backend web developer).