Differences between a Statistician and a Data Analyst in industry
A major difference is the job market: you'll find a lot of job ads for data analysts/scientists, very few for theoretical statisticians. In most sectors (there are some exceptions, in banking for example), companies are interested in applying existing models to their data because this is what can increase their profits. 

Devising new theoretical models is more on the research side of innovation. Most "pure research" job opportunities are in academia, although some big companies have research departments as well.