Well, the He-162 was a jet, and as such obviously didn't suffer from the issues of the rocket engine. IIRC however, the 162's flight characteristics were not regarded as being terribly good, and it was felt to be unsuited to novice pilots, it's design intent notwithstanding.
regards,
aircav
EDIT: Just re-read Eric Browns test flight reports in the 162, and he says the take-off and landing were rather tricky, but in flight it was a decent aircraft and stable gun platform. The fin and rudder assembly was rather fragile though.