Heads up for those who want a game controller that works well on Linux: Target.com has the DualSense for $50 USD right now.
Bluetooth, USB, motion controls, and rumble all work. The driver is from Sony and is part of the mainline kernel, so most desktop distros should have it already.
I think all the major controllers use Alps sticks, which (sadly) are susceptible to stick drift. I wonder if you got a bad batch, though. My 5-year-old DualShock sticks are steady unless I turn the dead zones down to almost zero. And I haven’t even bothered calibrating them.