It sounds like the post fits fairly well to your workplace, but at any rate I think the important part is that “respect” means different for different people and the core idea that some think there’s a difference incoming vs outgoing is problematic.

The whole core of “treat others as you wish to be treated” is this. It’s not about actions, it’s about intentions. It should be “treat others with the respect and consideration you wish for them to give to you”