Maybe a shock-cord take-up system is employed which pulls the loose halyard to the bridle, but when the halyard is tensioned it runs its normal course straight up the mast.

If it were running from beam to bridle and up the forestay the loads would be a bit strange...you'd think it would load up the bridle and unload the forestay, but then again, you are running downwind so the forestay/bridle isn't heavily loaded anyway.