One hint is to not behave like you are higher-status than they believe you to be.

I am not sure about that. Status is a function of perception and, to some degree, negotiation (usually not explicit). Just because someone wants to assign low status to you (e.g. because it would raise their own) does not mean you have to accept it and bend to their expectations.

It's a complex issue but I'd like to make two points.

First, showing high(er) status and being an asshole are very different things. People dislike the latter much more than the former.

Second, keep in mind the overall goals. High status is useful and could perfectly well be part of what you strive for. Normally you do want to convey information AND increase your status without pissing the audience off. By the way, if you're perceived as having sufficiently low status, your information would be perceived as low value. People listen to those they respect.