Glass ceiling for data science careers?

I am working with many data scientists in a large international enterprise, many of them have a PhD in fields such as physics, maths or computer science.

Recently, I started wondering if there exists an unspoken glass ceiling for data scientists (or IT specialists in general) in many organisations for such individuals who are not overly keen on giving up actual hands-on data science work, or who are not overly keen on having lunches and coffees with more senior managers …

careers computer computer science data data science datascience data scientists enterprise fields general international maths phd physics science scientists