If you use the official 2.4GHz Sony USB adapter for PC, then yes, the headset jack works, just like with the Xbox controller dongle.
But OP's point about latency is true in Bluetooth mode also. While Xbox controller with dongle is still stuck at 125Hz. >>83392069
Define janky, there's open source drivers for Windows, like DS4Windows (the new fork, not the 5 year old discounted one).
Nothing janky about that, except it gives you a lot more control, everything from custom macros, re-defining buttons, using the motions controls, adjust sensitivity, using the built in lights for battery indication, having different profiles for different games, using the touchpad, etc. You get a lot of control.
Also there's official Sony drivers for Windows, those also work with Steam's built in controller management.
Many Linux distros and macOS ship with drivers built in also.
I think many people either remember or parrot the old DS3 driver problem where it was a janky chinese closed source driver, that gave a lot of bad rep for Sony controller under PCs and apparently still does. >that wipes out any gains you might have from using a controller with a higher polling rate.
The processing time for xinput translation is less than 1ms. So not really a issue.
Plus plenty of indie and AAA games do support dinput and even DS4/DS natively and so do emulators. No translation needed. >>caring about latency>>using a controller wirelessly>pick 1 (one)
There's no measurable difference in millisecond resolution. Same applies for wireless mice, stop living in 2007 when this was a valid argument still.