It's not obscured when the precision of the process doesn't provide the precision you might like to see. If the rounds are combined, it means the values done separately are statistically the same meaning we don't have the ability to tell which number is more accurate. There is no absolute measuring stick out there as a reference to check validity so we have to rely on using as many data points as possible to get the precision we do have. Averaging the two rounds gets closer to whatever the "true" number might be versus using either one separately despite the fact you anecdotally observed different playing conditions.
Rater of the tossed arc.