I was going to ask "Are there any missions where a geosynchronous orbit is advantageous over a geostationary orbit?" The TL;DR answer to this question (Are there any satellites in geosynchronous but not geostationary orbits?) is "Yes", however, the answer there doesn't explain what any of the benefits are.
What are the benefits? Why would a mission choose a geosynchronous orbit over a geostationary orbit?