With no offense intended, people who think this is a good idea obviously have no clue how much trouble would it cause for those of us who don't have a low ping on the server.
As fancy as this idea may be, it'd just turn the whole bounty claim process into a brainless "Mash B soon as he flames up" kinda deal, and if there's a hunter with ~200ms ping who's actually trying to claim a kill, and a randomer with 50ms ping nearby, if both are quick on B-mashing there'd be no chance for the hunter to actually beam in the item before the randomer does. So you see, as cool as this idea may be on paper, there are numerous reasons why it wouldn't work as intended in practice - Ping is one of those reasons.
Removing server-wide (or even system-wide) bluemsgs sounds like a tempting idea, and we already have the option of limiting deathmsgs to those with your own char on either side of it (/set diemsg self) so maybe a variation of that command can be used for an idea similar to this. It'd also be logical for the hunter to have an item on their ship which keeps track of the ships they've destroyed, so instead of a "black box" on the target, a similar item can be used on the hunter ship. People who intend to claim on bounty boards can purchase said item to keep track of their kills, and all they'd need to do to claim would be taking a screenshot of their "kill log" and posting it on the board.
Sure, that won't be as interesting as the original idea suggested in this thread, but it'd at least make things a tad easier for those with higher pings (As claiming bounties with a not good enough ping is hard as is).