From personal experience, yes jobs do exist where data scientists work on ML and models are actually deployed into production. I’m not sure how rare this is because many companies hire without a clear idea of their data needs and probably just need a data analyst. I’ve discussed assessing job descriptions to find companies truly hiring for a data scientist versus a data analyst/data scientist hybrid in this post. https://towardsdatascience.com/why-data-analysts-should-apply-to-data-scientist-jobs-4bd695e7d747