From my research Citizen seems to make the most accurate quartz watch at this time, and the specs are impressive indeed. The Citizen AQ6110-10L released in 2022 with the caliber 0100 claims ± 1s/y.  Some of the other high spec quartz watches with fall in as show below. Other specs are shown for comparison purposes. Anything better than 1ppm (1E-06) is remarkable from an instrumentation point of view. To achieve these levels of accuracy the oscillator needs to be temperature controlled. This is referred to as a TCXO (temperature controlled crystal oscillator). These oscillators were once relegated to professional frequency counters or signal generators due to their size. When I was working with frequency counters about 15 years ago, the smallest TCXOs were about 20x20x40mm. They have shrunk along with other components to fit into GPS units, smart phones, etc. Apparently now they are small enough to fit into watches. The smallest TCXO I could find measures 2.1x1.3x1.1mm. These have been commercially available since late 2020. I wouldn't be surprised if we see more ultra spec quartz watches in the future. (I included the Longines Ultra-Chron mechanical in the list because it is my Grail watch.)
Citizen AQ6110-10L Quartz: ± 1 s/y (<0.04E-06)
Citizen AQ4091-56M Quartz: ± 5 s/y (<0.2E-06)
Typical Quartz Spec: ± 1 s/d (<12E-06)
Typical Quartz Observed:  ± 1 s/d (<6E-06)
Bulova UHF Precisionist Quartz: ± 10 s/y (<0.3E-06)
Longines VHP Quartz: ± 5 s/y (<0.2E-06)
COSC Certified Quartz: ± 0.02 s/d (<0.2E-06)
Longines Ultra-Chron 2022 Mechanical: ± 1 s/d (<12E-06)