Not only have I given an example (seriously, did you not read my first post?) but it is not unrealistic at all. Just because you say so doesn't make it true.
*Sigh* Water can Heal. We all know this. Blood is literally is what gives us Life (as well as Water). Bloodbenders can bend Blood. Blood has connections to Medicine in every culture. Do you see where this is going? There is Water in Blood. This allows them to bend Blood.
So, if a Bloodbender were to stop someone from bleeding to death (by Bloodbending) that would be positive, yes? Or (again) aiding in surgeries. The Technique itself would basically be what anyone would expect; whether to use the Water in the Blood to Heal or to stop the bleeding if it were to occur. It could even be used within the Bloodbender's own body.
With that said; yes, It can work. It is possible. Period.