Ice Pack, perhaps a pedantic point, but if non-moving thrust levers (not feel) are a contributory factor then this should only apply with A/T engaged.
It should not be a problem with A/P + A/T engaged, but may require a slightly different scan pattern to balance the loss of visual cue.
If the A/T is used for manual flight then pilots may have to adapt their way of flying; point the aircraft (flight path management) and trust in auto speed, but if speed mode is not engaged … ...
another view considers that the thrust levers set the energy level (fixed values for climb / decent), and that the elevator distributes the energy – the attitude / speed relationship, which might be better understood with manual thrust conrtrol.
IRRC this subject has been discussed elsewhere, where the descriptive ideas originated from work by the eminent Dr Werner Pinsker (RAE).