Yea sadly the UI isn’t great and there’s a bunch of different apps and everything is new. There’s badges for mod and admin, and then there’s a way to speak as a mod. So if you see all 3, that’s an admin speaking “officially”.
In general if someone’s asking for you to change your behavior- mod, admin, or even a regular user, you should probably take their suggestion if it’s reasonable to do so and not asked from a place of intolerance. It helps to demonstrate to the other person that you’re responding in good faith because you’re willing to accommodate their needs.