Their example of "ask culture" involves stoking resentment by making unreasonable requests. This can be avoided by practicing a little empathy. Ask questions, provide some basic context, and offer an escape hatch: "What are you busy with? I need X because Y. It's fine if you can't, I can also get it from Z".
Their example of "guess culture" sounds like mind-reading and ambiguous non-verbal signaling, maybe even to the point of being passive aggressive. Again, use empathy. Volunteer information that others might want to know. Be genuinely curious, ask questions. Communicate.
Make sure both parties know enough to make informed decisions.