After steeping, you need to dump the used leaves (assuming you aren't planning to re-steep) with more potential for spillage than when disposing a tea bag, then take the strainer to the sink, add a tiny drop of dish soap, rinse the strainer, and find a place to dry it (e.g. over an empty jar).
It's not difficult, and the extra steps are personally worth it as loose leaf tea generally tastes better. However, for people who aren't concerned about the taste difference, it's nice to have one less task (where spillage is a concern) to pay attention to.