In principle there is no technical reason why the aircraft automation cannot detect unusual attitudes and give correct FD indications,
The general rule for recovery on instruments from (say) a spiral dive, is first level the wings. There may be other things including simultaneously selecting idle thrust to prevent speed build up and selecting speed brakes out. Once the wings are level, then apply elevator to raise the nose. The important thing is not to pull back on the stick while the aircraft is still in a spiral. All this is ab-initio stuff.
A FD recovery (if it is invented) would not prioritize wings level first. It would presumably only display direction of turn required and direction of pitch up (aircraft in a spiral dive for example). The pilot could be sucked into simultaneously rolling and pulling top satisfy FD commands. Not a wise move.