Since there is always the Bird-Lebron debate, let's compare to similar circumstances for LB:
I couldn't find play-by-play for these games but there still is compelling evidence that Bird fought to the end when faced with elimination and the game wasn't that close.
1982, Game 7 vs Sixers, Bird played 44 minutes in a 14 point loss.
1985, Game 6 vs Lakers, Bird played 47 minutes in an 11 point loss.
1987, Game 6 vs the Lakers, Bird played 41 minutes in a 13 point loss (DJ played 46)
In his last game, Bird, fresh from the hospital, played 33 minutes in an 18 point loss to the Cavs (down 24 going into the 4th)