I ran into the exact same thing, Logitech + Xplane and was left feeling like it wasn't common enough knowledge the setup, for hand flying approaches, is totally unusable (Is this hyperbole? It feels true).
I did the Leo Bodnar board swap into the yoke, which helped a bit in roll, but it has too much hysteresis in pitch, but I can at least managed it a bit more.
The core problem might be that once you are established, as much as anything, you are flying by applying a pressure and not actually moving any significant amount. The toy controller is terrible for that. The driving sim folks kind of figured this out with the strain gauge based brake pedals.
Getting some rotary encoders to turn the GPS and other controls into some physical knob was pretty helpful, at least as much as flying full approaches. We don't have a DME arc locally, and I at least got to try one out to have any kind of sense for discussion in my hopefully upcoming checkride.