"I was asking about why it helps to have a more precise measurement, not to make more precise claims.  But maybe you're right and all we really need is the precise claim.  So we should measure my response times to within the nearest 6 seconds, but predict that my next response will take exactly 4.59823987 seconds.  This way we get all the benefits of a precise claim, but without the risk of losing lots of 2s by actually measuring.  Would you agree that this is the pathway of wisdom?  If not, why not?"

"I was asking about why it helps to have a more precise measurement, not to make more precise claims.  But maybe you're right and all we really need is the precise claim.  So we should measure my response times to within the nearest 6 seconds, but predict that my next response will take exactly 4.59823987 seconds.  This way we get all the benefits of a precise claim, but without the risk of losing lots of 2s by actually measuring.  Would you agree that this is the pathway of wisdom?  If not, why not?"