I occasionally get a problem with wheel calibration (DFGT, also logitech) that involves the end points of the wheel travel not registering properly. Basically LFS seems to think the ends of the wheel travel are at the furthest points it has seen so far, and it scales the game wheel movement according to that range. Everything looks fine in the profiler when it happens (I'm guessing that's because the profiler knows exactly what the full range is before it sees it, whereas LFS has to figure it out from data received in order to be compatible with unknown wheels).
The most common symptom was the wheel being off-centre as I hadn't steered equally in both directions, but it also did the lock-to-lock with very little wheel movement thing you describe when I didn't steer much in attempting to fix it - It took me a while to figure out what was going on
It doesn't happen very often, and now that I know about it it's just a matter of steering full lock in both directions (on the real wheel, not game wheel which will stop earlier) to show LFS where the ends actually are to fix it.
I don't know if that's what's going on in your case, but I figure it's worth a mention on the off-chance.
PS: I believe you can install over the top of an existing LFS installation without losing that specific data, but if you want to do a complete delete and reinstall, you can save layouts in LFS/data/layout (singular) and setups in LFS/data/setups (plural) and replace them after the install. You will still lose some other data, though! I generally rename the current installation rather than delete it, so that I can revert it if I've forgotten to save something I need.