With the loss of their people, the village leaders know that their alliance has ended. Even if they send reinforcements from their own village, it will only create more casualties. Rather than gaining profits, they may kill themselves.
All the combatants that died in the desert are elites that are hard to cultivate and require many resources to nurture them. As a result, they may endanger their own village rather than destroying the Sur village.
Unlike Sur village, the other villages are located in a territory with some small villages or groups. They need to constantly maintain the power inside the territory, or the others will overthrow them.
The Sur village is located inside the Surya desert, which lacks any other group or small village living in the Surya desert. Henceforth, Sur village could fight with all their strength without caring about the repercussions.