Maybe not as much as you'd think. Haiti doesn't have goods for ready cash. Most of the relief issue was shipping goods into the country where needed.
I posted on https://news.ycombinator.com/item?id=9666194 that jbniche's theory seems to be supported by the studies in that article.
Edit: I think a combination of both approaches might be needed. I'd really like to know what the Red Cross did and the effect it had, but we can't if they're being so opaque.
A fair amount of GiveDirectly's recipients' success comes from it only being a fraction of people in the village that receive the funds
Watsi-style disruption might be the other option, but it doesn't scale for fast relief.
I don't think Post-quake Haiti had a surplus of unsold consumer goods.