Inadvertent Horn/Never like this before

[jreggied]

Here's the scenario: score tied, 8.4 seconds remain, free thrower shooting second of two, coming out of a timeout. Home team is at the line. Home team sends a substitute to the table, after the ball is at the thrower's disposal.
Shot goes up, skims off the underside of the front of the rim....home team rebounder goes high for the rebound which is actually coming down....timer thinks the shot goes in and blows a long horn to get the substitute in.
Meanwhile, the rebounder comes back to the floor (horn goes off while he is in the air but with control of the ball). During the horn, nine of the players freeze and look to the table..........the rebounder of course goes back up and lays the ball in.....For uknown reasons, when the horn sounds the clock has wound down to 5.4 seconds.
Everyone looks to the officials.............now what are we going to do.
The rules clearly state that play continues until there is a whistle......when everyone has frozen a whistle blows....thats 5.4 seconds to go.......here the home team scores when the home team timer blows the horn.......when the officials go to the table his explanation other than he doesn't know why he did what he did other than he thought the ball went in............
The absolutely correct thing to do, by the book, is to count the basket and give the ball to the visiting team, down 2 with 5.4 seconds to go......Perhaps the "right" thing to do is to wipe off the basket, give the ball to the team in control at the mishap......the home team........5.4 on the clock with a spot throwin under the basket............Here it appears there may be a technical difference between the correct thing and the right thing........Your Thoughts please?