Absolutely, at the end of the day if a do gooder member of the public phones 999 and tells the emergency services a plane has just crashed you can expect a large response, no assistance radio calls or not.
Emergency services are likely to turn up even after being told by the pilot that they aren't needed. This is because there is the possibility that the pilot who has got down safely and the plane crash reported by the member of the public might not actually be the same incident.
(This also applies to conservation volunteers, who sometimes have to make non-trivial bonfires in the middle of the countryside. Although they might phone up the fire brigade in advance to tell them what they're doing, and phone them up regularly to tell them the fire is still under control, the fire brigade will still turn out when some driver calls them on his mobile to report a "forest fire".)