I was a little confused by this one - what's the usecase for manually bouncing mail?
If B forwards it to C, the email appears to come from B. If B "bounces" it to C, the email appears to come from A.
(it's the Resent-to header in RFC 822 IIRC)
So say you get a bug report from A than you know only C can fix, by bouncing it to them they get to easily reply directly to A and get on with it, leaving you out of it...