Idk which model you got but mine did charge via usbc. It also broke so idk if I would prefer yours lol.
I also didn't mind not having a second stick, I got very used to using the trackpad to move the camera in games like dark souls, so much that I could turn it waaaay faster than with whatever stick and with way more precision. very important to mention, I did not put it in "controller mode" but in the "controller and mouse mode" where it took the trackpad input as mouse movement, which made it work flawlessly with swift movements. It's true that the controller mode was lackluster since swiping the trackpad repeated times to turn the camera felt bad. But eh, easily fixable option with an alternative superior to any other controller I've ever tried.