Correctable error situation?

[mrsref]

I was wearing my coach's hat yesterday, and had this happen in our game:

First quareter, we(white)are inbounding in front of our bench. Black team player reaches across the plane and hits the ball while it is still in inbounders hand. Official blows his whistle, says "Black, you can't reach across the plane". I know that since black touched the ball, the correct call is a technical foul, but I'm not going to force the issue. As the official is restarting the throw in, I ask "Is that an official warning?" He sort of rolls his eyes and replies, "yes, that is an official warning".

Closing seconds of the first half. We are inbounding from sideline, the other official administering. Same thing happens--black reaches across and hits the ball. Official stops play, warns Black not to reach across. At this point I am yelling to administering official that this is the second time, it has to be a T (never mind that by the rules it should have been a T each time it happened because the ball was touched). He ignores me, so I turn my attention to his partner across the floor. He too ignores me.

Time runs out, and before the officials leave the floor I ask official #2 why he didn't call the T. He conferences with official #1 and then says that he didn't know it was the second time black did that. I then ask #1 why, when he saw #2 call it, didn't he come in and get things right. No answer.

Here's my question. Since a coach is allowed to go to the table and request the horn be buzzed to prevent a correctable error from being committed, could I have gone to the table after the second instance of black reaching through the plane? If merited free throws are not awarded, it is a correctable error. In this case, each official warned black for the same infraction, when by rule it should have been a technical foul on the second instance of the infraction. Two free throws come as part of the technical foul, so merited free throws were not awarded because the officials weren't communicating.

Not a typical case, but does this fit under correctable error provisions?