The Neuchâtel Observatory is a publicly funded institution that certifies movements with high accuracy as chronometers. Not a private body, or a marketing tool used by a watchmaker. The same ‘competition’ is done by other observatories, all giving their own rating of a timepiece’s accuracy against a reference chronometer kept at the observatory.
A quick search could have brought you that information_ Quartz movements beat the pants off mechanical movements, and they’re far cheaper to make, allowing the non-rich to have a decent watch with good battery life and serious accuracy. Cheap and normal mechanical watches regularly drift and lose a few seconds time over days and weeks - quartz drifts between 1-110 seconds over a year.