There is innovation in mechanical, no doubt, eg seiko spring drive which is a spectacular feat; stuff like new synthetic lubes or silicon balance springs to counteract magnets (which are everywhere now: from the back of the phone to the rim of a macbook).
So mechanical watch can be pretty accurate (very much so, if you buy one without a seconds hand).
Ultimately, it is a combination of inaccuracy, servicing at least once every 5-7 years, not so great running time (if you have many watches), etc. that turned my obsessive-compulsive gaze away from them (after I manually regulated with a timegrapher my Raketa Big zero to be accurate around to +3 seconds per day if I wear it constantly, which was fun akin to bonsai or what have you).
The only thing I would have wanted from gshock is having more apocalypse-level accuracy (if there is no time signal available): like having a built-in offsets to account for temperature-based quartz fluctuations.
That and a battery inside that can last a century of solar charge — so it can be an ultimate tool :-)
What's the drift like on a G Shock with no time signal available? There isn't a time signal in my region.
I've been considering getting a second watch (on top of my Coros running watch) because my phone has bad time drift when in battery saver + airplane mode, and my watch has a habit of dying at the wrong moment because of GPS and sleep tracking power drain.
That doesn't sound like it would be a problem, but I am in the habit of 5+ day hikes with no cell service and the occasional 40 hour flight with 3 layovers each in a different time zone.
If unable to sync (even via bluetooth), these models are rated for +/- 15 seconds of drift per month.