I don't think there is a canonical answer to this but I understand completely what you are after in your reporting. One problem that I see in reporting is we typically display the metrics in raw form, e.g., CPI = 0.84, versus the results of the analysis of the metrics. We may only display in the report, for example, a process run chart, instead of explaining what the run chart is saying to us: this jump is normal cause or this jump indicates a special cause trend and requires analysis and intervention. It's akin to your doctor showing you your xray film with no explanation of what it means. I witness a lot of eyes glazing over when this happens.
On the other front around emotional responses, you are faced with different personality types and hidden agendas when trying to find trigger words. For example, if you have any experience around the DiSC Assessments, you'd likely find different emoting words necessary for folks who are high DI low SC; high SC low DI; or high DC low IS people. Also, people with whom we work have personal agendas and much of that could be hidden. You would have to find that trigger word that impacts their agenda to get a response.
I think this is the art of communication and stakeholder engagement. I think the heart of your question is a valid one and speaks to these two areas of project management. The answer, however, is a complex one and one where there is no one size fits all. You will need to really understand your audience, those who are consuming your reports, and experiment with your reporting language. This also means you need to LISTEN for what they are asking, really listen, because many times they are asking for something different than what their verbal ask indicated.
This is getting to the psychology of us, personalities, and cognitive biases.