The keyboard itself is fine if I use regular mappings, however in the wootility software they provide (yes they have an official linux version) you can map controller inputs to your keys. So for example I can map (emulate) controller joystick left input to my A key to emulate the analog signal. These does not seem to register in-game. Other key inputs work fine.
Will update the original post but I solved it. Apparently there’s specific gamepad settings inside of Wootility under Settings > Gamepad. There you have to select what type of controller the software will emulate. I just took the recommended (Xbox Controller) and now it works as expected.