这个句子中的 as to 如何理解?谢谢!

I realized that the villagers who had gathered around me were arguing as to who should have the honour of receiving me as a guest in their house.

这是高考考试语法填空中的一个句子。句子的意思并不难理解。

我的问题是:假如没这个as to, 好像这个句子就比较容易理解。那样 as to 的意思是呢?或者它在结构上有哪些意义呢?谢谢!