The model of precision and correctness being opposing forces that increase in strength the more you hone in on one is useful for me and something that I had never put into words before.
NASA deals with strength and precision together all the time, it's rare that they are both needed on the same task at the same level. The requirements for precision and strength to be shared in an essay is to construct sentences that are clear and cannot be interpreted in multiple ways and then fill in the descriptive detailing with precise information.
Strength takes from distilling multiple possible interpretations down into one clear and correct direction. Precision is about highlighting the qualitative properties and exact quantities of your subject.
They don't conflict. They are rarely needed together.
Three miles east of the center of South Carolina is almost accurate enough? Who knows, not accurate enough for NASA and accurate enough for giving coworkers the idea of where your farmland is located.