It's just a label on a box to put people in. I don't really know what "science" or "engineering" is anymore--my SO is a neuroscience phd and has maintained "science is not synonymous with the scientific method; a lot of 'research' science is just collecting and publishing data and it does not need to be reproducible" which makes enough sense but challenges a lot of my priors.
Engineers don't traditionally even "build" anything and there are both upper-case and lower-case engineers in title and legal designation.
Comparatively and in sum the distinction between computer scientist and programmer is actually somewhat simple and quaint.