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 it depends on your computer’s Bluetooth module. I haven’t noticed an input lag problem with my DualShock on either of two computers, but some people with different hardware have reported lag until they switched to a different Bluetooth dongle.
YMMV, though. I have no experience with Rocket League.