One should not treat others in ways that one would not like to be treated.
The rule is self-referential and entirely independent of "other".
One should not treat others in ways that one thinks/feels those others would not like to be treated.
The above addition ignores "self" and depends solely on the preferences of the other.
Would the Golden Rule be complete if both statements were considered, with the most stringent of the two determining the minimum level of action?
So for example I like being told I'm wrong if someone thinks I'm wrong. Therefore by the classical rule I would tell people they are wrong when I think they are wrong. However this ignores them entirely. If they don't like being told they are wrong (my knowledge of this is not complete like with the first half, which is an issue), then the second half would stop me from telling them.
On the other hand, I don't like being told I'm wrong. The other person does. Therefore I can choose not to tell them as that is my rule for myself.