The one thing I see kind of missing is a math background or at least a project proving that that is in your skillset (recommendations sounds like it could fit this). There are a lot of people with a similar background to you and normally those are in "business intelligence/analytics" or "data engineering" where they are mostly writing sql queries and interacting with dashboards/OLAP cubes or setting up those dashboards/cubes.

That's perfectly fine but it's not what traditionally is referred to as data science. I'm actually quite annoyed at what has been happening to the term data science lately - it's supposed to be some stats-heavy/applied-AI role but a lot of companies hiring "data scientists" are really just hiring SQL jockeys.

Personally I've done both data science and data infrastructure and I like infrastructure a lot more anyway. And it sounds like you are somewhat qualified for that with some of your pipeline work (although big data experience is also important). A LOT of data science departments have no idea what type of business value they are supposed to be adding, are doing shitty boring work with glorified titles, or are improperly integrated with the company at large (bad productionizing processes, poor data infrastructure). There's always going to be a need for data infrastructure but the "data science" hype is going to fade once all the shitty data departments cut the fat.