"to gain airspeed in a rotating helicopter ideally the cyclic needs to move in the cockpit at (negatively) the same rotational rate, ie constant bearing
Not how it worked in the sim, just shove the stick forward accepting whatever rotation until airspeed obtained with the relevant sideslip, then fly to a suitable landing spot. Mind you, sims are not necessarily representative of the real thing, but that's what was being taught by a world preeminent sim training organisation.