Don't remember a 'priority' call, but recall that on a precautionary landing you went to idle/idle and started braking before pulling the chute handle. If the chute failed you just continued braking and probably ended up with hot brakes. From memory you usually did a precautionary landing if landing well below 800lbs a side - that being enough for 1 circuit or a mayday div to a close airfield. As an aside we were told that the fuel needed to carry out the full emergency gear lowering procedure was at least 800lbs a side so we were advised to feel the gear lowering when short of fuel as it was possible to feel the 3 clunks of the gear locking down.