My experience doing data science at small companies that can't afford to hire more than 1 person for the role is that it is so much more than just building models or doing statistics.
You have to:
1. Build APIs and work with developers to get predictive models integrated into the rest of the software stack
2. Know how to add logging, auditing, monitoring, containerizing, web scrapers, cleaning data(!!), SQL scripts, dashboards, BI tools, etc.
3. Do some basic descriptive stats, some basic inferential stats, some predictive modeling, work on time-series data, sometimes apply survival analysis, etc. (Python/R/Excel who cares)
4. Setting up data pipelines and CI/CD to automate all this crap
5. Trying to unpack vague high level requirements along the lines of "Hey do you think we could use our data to build an 'AI' to do this instead of manually doing it" and then coming up with a combination of software / statistical models that perform as least as good or better than humans at the task.
6. Work with non-technical business users and be able to translate this back to technical requirements.
Hey, if all you do all day is "build models" then that sounds like a very cushy DS job you have. It's definitely not been my experience. I would describe it more like a combination of software engineering and statistics and business analyst. That's why it pays higher than just statistics. But this is just my experience..