English to Chinese Tech/Engineering Law (general)

In conservative areas, prosecutors may {stand to gain more politically} by bringing cases against supposedly obscene material than will prosecutors in more permissive places such as New York City.

查了一下，有的网页对stand to gain给出的解释是一定获利，个人认为有待商榷。
还有more politically也不太好理解。

试译：
相对于更开放地区（如纽约市）的检察官，保守地区的检察官对假定的淫秽材料提出诉讼，一定会获得更多政治支持。

不知道是否准确，有劳各位指教，多谢。