Ok, so my use of precision is not precise :) We are stumbling over words here. What would you call the level of detail used for presentation, if not "precision"?
I would call them significant digits, Wikipedia seems to prefer the lemma http://en.wikipedia.org/wiki/Significant_figures -- both will do and have the same concept. But accuracy and precision are interpretations of this, and there are more flexible ways to express these other than through significant digits/figures like an upper or lower value. But the two things are not the same. I think it is not an overcomplication to provide both for significant digits and for precise upper and lower interval.
Gregor