The 330 I flown had brake fan installed which
will shortern cooling time by half.It is helpful if the fault has gone and you can try another takeoff in 25-30 minutes.
Decision to turning the plane requires more info than just fire warning indication in the cockpit,probably visual confirmation would help(not that the cabin crew are good at it!).Why not open the sliding window and stick you head out to see for yourself?
Then the big word comes "Commander's discretion".
Happy flying.