My serious answer as a neurotypical person is that it depends on what you mean by being better at communicating.
Is the goal is to communicate information in the clearest manner possible? Or is communication that is laden with ambiguity, irony, hierarchy etc., in short, social information that is supplementary to the literal meaning of the words, better because is more dense with meaning? And this is just considering verbal communication. Is a poem better the clearer its meaning is? There are lots of people who think so, even if I would disagree.
I think it depends on the situation, context and your own assumptions about what good communication is.
If you take the example above about the aunt wanting the clothes picked up, obviously this is pretty shitty at clearly communicating intention, and maybe she's just bad at communicating generally. But it's also plausible that this person felt like asking directly for whatever reason was too overbearing. Women are often socialized to avoid direct commands. In that case the communication much better matches the aunts intended goal of asking without asking, even if that message was not understood by the recipient.