Quartz is better for all but the most basic complications
Quartz works so well for any complication beyond the basic day or moon phase. Take your watch off for a week? No problem, there’s no need to reset it. But arguably more important is the price, the cost to service a chronograph outstrips the cost of a nice micro brand mecha quartz chrono. Quartz allows for weird albeit useful complications at a reasonable price, look at G Shock with a compass, thermometer and a barometer or the Seiko Age of Discovery or the Citizen Cosmosign.
Want a grand complication? There are quartz ones like the Campanola that are attainable, if you want a mechanical one I don’t even want to think how much it runs.