I use a cheap BT stick to connect my Dual Shock-alike to Proton-driven games via Steam.

The first thing I've noticed is that it doesn't connect automatically, but that's okay.

Then I was surprised it LEDs' colors are changeable via Steam, but just like other DS4 it can't output sound not via itself nor via a dedicated 3,5mm hole, but it's a given. Sony are spooks, that's okay too.

What troubles me most rn is that it lags, a lot. I can press a joystic one way and release, and it would still move a character for seconds in one direction. A fix? Just plugging it into a charger (not connected to this PC) solves it. As long as it is charged via a wall socket, it works. When it's disconnected, it starts to lag after some time.

I can't comprehend why a fully charged controller behaves like that. Does it have some faulty battery or something?

I don't have much experience with BT controllers, thus I ask you for an advice.