The stabilized monohull, Saildrone, looks more sturdy by design. It does lack the rather large solar panels, though. The boards in both designs seem to be problematic when navigating in kelp and other floating stuff.
With such a wing setup a proa seems to combine many other advantages. It has the horizontal surface for solar panels; an asymmetric leeward hull could replace the need for a board sticking down; a pod extending the lee side of the leeward hull would make it easily self righting; small, rotating down at fixed angle rudders in each end of the leeward hull is mechanically simpler and only have the rudders stick down when course corrections are called for; shunting is no disadvantage on these long course missions and probably simplifies automatic steering.