Yeah, I hate getting into those manifolds. I end up with oil everywhere.

Any idea if the tilt and reach sensors even exist, though? I don't see anything and I can't remember ever seeing one in a pantograph.

if you're not getting any error codes it sounds to me like you have a faulty solenoid valve in the function manifold out on the pantograph.
One of those solenoid valves does control the oil flow out to the reach and tilt cylinders. If you get an electrical and hydraulic diagram you can figure out which solenoid controls this and troubleshoot it from there.

usually in my experience when you have limited function like this it is a broken wire in the harness going out to the aux manifold from the main manifold but since you're not getting any error codes that leads me to believe its a mechanical problem and not electrical. You did say the function monitor showed the solenoids turning on and off so.... find the valve and see if its stuck or broken.