All lithium ion powered controllers have crappy battery life. I'd rather use AAA and AA batteries. My wireless keyboard has used the same AAA batteries with the same charge since June 2018. I don't use it as much as my wired keyboard, but still a significant amount every single day.Everyone is different so I am not going to criticize, but the only Dual Shock I ever had a problem with was the DS3. It just did not feel right to me. DS4 is easily the best for me, and has the best analog control sticks. The only minor problem is me activating L2 oe R2 by mistake when placing a controller on the couch. Also, some the early controller had sucky battery life and loss their charge. The more recent ones I've bought don't have this issue now, but it was a problem for me a few years ago.
I've never liked Xbox's ergonomics.DS5 just looks more of the same, but all IPOD Future looking. I honestly prefer the look of DS4 compared to that. Too homogenized and boring design. I am sure it will play fine, but I will be buying other colors.
Speaking of controllers with buttons on the back. There are Power A Xbox Controllers. They have buttons on the back if you;re interested.
Enhanced Wired Controller for Xbox One - Black, gamepad, wired video game controller, gaming controller, Xbox One, works with Xbox Series X|S
Not expensive either. Works fine on PC and all of the XBOX consoles.
Switch Pro > DS4 (which I use for my PC) > Xbox
I have a Steam controller, but just find it too weird. Not as good as a mouse and keyboard and not as useful as a controller. It's mainly the track pad that ruins it for me.