You shouldn't expect better accuracy from any automatic/mechanical watch. If you want much higher precision, you better aim for quartz watch, but most watch enthusiasts may find them "cheap" and "soulless", which is definitely subjective. I love automatic watch for smooth second hand movement and absence of battery to replace.

Chrono certified means it has been tested within a certain range of temperatures without exceeding certain thresholds of positive or negative drift per day. It's only certification anyway, many uncertified watches may give same results.