So you're getting good response on the stick with the ship moving once the stick moves?
i get even good response if i carless rest my hand on the stick: small minor movement of the ships nose.
So the X52 sensors are quiet sensitive.
As most sticks the X52 is centered by a spring, and the player has to apply force to move the stick out of 0% position.
The X52 uses one spring to center, pressed against a plastic disc that is sliding on a plastic ridge (with a little bit of silicon grease in between).
Some reviews of the X52 said that this plastic disc has sometimes too much friction, creating a sense of lag then moving the stick.
Removing the old grease (= removing dirt & dust) and adding grease new should improve that.
The X52pro uses 2 springs, and the disc is made from metal (less friction). Due the 2 springs the pro needs only little force to moved out of 0% position.
Some info about dead zones:
Dead zones can be set in the Windows game controller panel for each axis, or in Elite Dangerous input bindings.
Most stick don't have a dead zone from the sensor, but some players set dead zones to increase the size of the 0% position.
Normaly it should set a small dead zone because i can't touch the stick without moving it, but it's a minor movement, so it's not realy a problem.
Players also have to set somtimes dead zones if the sensor can't get 0% position anymore due aging of the potentiometers. The X52 uses hall sensors for the sticks main axis, and potis only for the twist handle, the main throttle axis and the throttle dials.
I have a small dead zone set on the dials (i use them in landing mode to roll or yaw on the spot, and for the VS Scanner).