Yes, maybe it's called centering spring - the centering forces you can enable even if the game is usually setting all forces (including what is needed to center the stick) by itself.
If controls at the ground and in the air (at high speeds, with Trim forces enabled) feel the same, that's good indication that there's something broken - Logitech FF sticks can't really be considered supported.
[IAS is indicated air speed, the pressure that makes the speed indicator move decreaes with altitude at the same true airspeed (TAS, gamey red needle)]
On my Logitech Strikeforce at least the elevator axis created believable feedback, while the force of the roll axis didn't seem to be updated too often (thus either was 0 or at some higher value, but did not change with speed, like the force on the control surfaces does).
The sad thing is that as far as I know so far I have been the only one to report this bug. I am just one player, so they ignore me. Noone really cares about Logitech FF stick users, usually they don't complain and just fly with centering activated in the driver. And that makes using a FF stick in a flight sim completely useless (unless you want FF to feel the guns shaking a 5t plane to increase the spray circle, lol; or even to activate the stick-stirrer block by buffetting).
Noone has the balls to speak up that it's broken, because everyone is ashamed to admit to using a crappy Logitech stick. The sticks might not be really good, but they're really really bad because they don't seem to be supported.
Get a new stick, much easier to fight with. I heard of some whimpies that dropped that kind of stick because they couldn't even fly with it...