I agree that there should be a support award.
Though it is entirely possible that the kind of gods that would throw some demigods into an arena and make them beat each other into a bloody pulp are not the kind of individuals whose favour you gain from healing the wounded. Bastards.
But then how do you balance the favor?
I don't see how any other DG could beat a determined Sedna to the award. Then you just get 'I turned up' favour (provided a lot of people dont start playing Sedna to get the new favor award)
If thats not the case.. Do you count self healing? Do you only count healing done to other DGs and minions? It becomes a bit of a problem to fairly allocate the award.
I daresay somebody who ran around supporting like crazy would be pretty miffed if somebody playing a regen Erebus bit more people than a hospital full of rabid and emotionally disturbed teenagers and won the "helping other people" award.