They should make it Double or Quits then. You bounty another player. You kill them, You get your stake and the points back, for example, bet 100, get 100 and your 100 back. You die, you lose the 100, this could be another feature, like "Rivals" or something, just thought the feature and concept has more to offer.
The problem with getting your points back
plus the 100 is that you could easily bounty someone in leather and gain an extra 100 points for nothing. This would prevent obtaining tons of points unfairly.
Once you bounty, you lose the points automatically. Whoever kills the person gets the points bountied and
only the points bountied.
To make it more of a risk, there would be something like you suggested:
If you decide you want the points back, you could try to kill the player.
But, if they kill you (the person who bountied them)
they earn the points because they killed the bountier. Plus, the bountier (you in this case) loses an
extra 100 points (or however much you bountied). This gives the bountied player an incentive to go after the bountier. If, however, they win the game, they receive
all points bountied on them.