Are you in London? You might know a friend of mine at the society.
Its an interesting question. Statisticians consult, teach, write, collaborate and research. Some, especially in Government may lead teams in certain departments.
In biology/ecology alot do collaborate with researchers or advise. Statistical methods in ecology have advanced tremendously and alot of biologists/ecologists do develop very good statistical skills. I my area many statisticians have co-authored studies where new techniques have been developed or the study design is so complex that a consultant is hired to advise.