Throttle won't move with HOTAS, but controls show correct input from Hardware device

Yeah it sounds like there is some actual MSFS issue/bug here, possibly controller profile becoming corrupted somehow.

I wonder if this is related, user had trouble using Throttle 1 Axis (i.e. same as what OP was using here) for throttle control: Aerolite 103 no throttle control? - #25 by Classic2004