This watch has a loooooong thread on the public forum: Pilot Watch A-13A
It's not advertised as a HAQ but it uses the ETA 251.264, the thermocompensated version of the ETA 251.262.
Basically, it is the Certina DS Podium Chrono without the subdials. You lose the small seconds, and 12 hour plus 1/10 second counters.
It's a very closely followed homage to old pilot clocks.
Damasko also hit on a similar formula with their DC80 mechanical homage:
The A-13A is a bit pricey but I have to say it's one of the best quartz chrono designs in a long while. Have a look if you're interested.