Table Doesn't Tell Officials That the Player Fouled Out

[just another ref]

Originally Posted by Nevadaref

It happens. As evidenced here.
Names redacted in the following situation:

3-pointer from the top of the key made it a 71-66 game with 2:39 to play. But the [Xs] watched as the [Ys] struck for five straight points in a 30-second span, four by [Y1] and a free throw by [Y2], tying the game at 71-71 with 2:01 on the clock.

[X1] hit a pair of free throws as part of his 14-point fourth quarter, but [Y2] and [Y1] answered right back with back-to-back buckets, finally giving [Team Y] the lead at 75-73 with just over a minute left in the game.

Ironically, the [Ys] should never have owned the lead. [Y1] re-entered the game with 3:02 remaining, but he had committed his fifth foul earlier in the fourth. It wasn't until he picked up his sixth foul that the officials claimed responsibility for the mistake and did not punish [Team Y], so [Y1]'s six points during the 9-2 run remained a key factor.

This part is speculation. Y6 might have performed just as well. Who knows?