Oly593, I assume from your username you are an aviation enthusiast. So to put this subject into perspective, the Olympus 593 engine was controlled by a mechanical computer. This technology has essentially disappeared on modern engines and has been supplanted by digital electronics and software. The reasons for this range through cost, quality, performance, reliability, maintainability and of course accuracy. So why did we love to see the Vulcan fly, and what drove so many people to work on doing that? Passion, emotions, pride, inspiration? Pick your own reasons. With advances in manufacturing and measuring capability, the last few of those old mechanical computers which are still being made have been improved significantly, but mechanisms will always suffer from friction, wear, thermal expansion, etc., so there is a limit.
And so it is with mechanical watches. The quartz watch is a much more accurate timepiece, so why do we love our mechanical watches? Passion, emotions, pride, inspiration? Or is it just like the Vulcan - they make a great noise?
Unless you aspire to be a master watchmaker, as long as you don't have to keep resetting your watch, stop worrying about accuracy and enjoy it for what it means to you. Then as Bob says, buy an old watch, get your screwdrivers out, take apart, rebuild it, and you'll discover that you have a greater tolerance for inaccuracy!
S