The rule you’ve described is ‘you have the right to treat people how others have treated you’.
That is not the Golden Rule. The point of the Golden Rule is to proactively be a good person, not one who reciprocates. Regardless of how others treat you, by treating others how you want to be treated, you will be seen as a good and decent person who spreads kindness in the world. Someone whom others won’t go online and complain about. Someone who is less likely to make someone’s day a little more shitty.
The Golden Rule is awesome. I struggle daily to abide by it.