DualSense V2 controller for PS5 mysteriously shows up on the Best Buy Canada website. Controller boasts an “Exceptional 12-hour battery life” (Best Buy Link)
Dualshock 4 had a v1 and a v2 and the only difference was battery life and the colour of the buttons. This is almost certainly going to be the exact same change minus the colour change I imagine.
There were slight variations on the micro USB port assembly. When I modded my DS4 to USB-C it was crucial to know which of the few different versions it was.
I wouldn't consider the battery life on the PS5 controller to be bad? I charge it like once every two weeks (when I am not in a semester and have time to play.) But I do turn off rumble, turn down the light on it, etc.