I’d rather that someone was accurately vague than precise but wrong. For example, I’d rather that a student or colleague said “I’ll be able to come and find you for ten minutes sometime between 4 and 5 o’clock” rather than “I’ll see you for ten minutes at 4 o’clock” and then show up at 4:45.
People who think that I’m pedantic and autistic about appointments don’t realise this. They think that I want everything nailed down, and so endeavour to be exact even when that isn’t possible. The problem is that they think I am going to be unsettled/offended at the imprecision. The imprecision as such doesn’t bother me—it’s spurious precision that I’m offended by.