The correct answer to this open question is the following.
The commonalities that I see in these quotes about the golden rule is that they try to teach a very important lesson that we can say is universal: "do unto others as you would have them do unto you." It can be considered universal by the fact that it can be applied to any situation no matter your religious background or ethnicity.
I think so many religions contain a variation of the Golden Rule for the same reason. It is a universal principle of respect and reciprocity that is at the very basis of any long-lasting relationship. We could say it is common sense. The actions I do and the impact they have will be returned to me consistently as I did them.