The other topics you mentioned aren’t exactly classified as “data science” so you likely won’t see them in most university data science courses. Database design has its own course usually but I’ve seen more of the rest as part of college/certificate programs.
You're thinking too narrowly about what "schema design" could mean. No, data scientists do not typically design back-end, production database systems. But defining and organizing a multi-sheet spreadsheet for manual data collection is what many data scientists spend much of their time doing (i.e., in the biomedical space). Doing that well definitely requires some understanding of concepts such as functional dependency, normal forms, and data types.