Sub not in game for disqualified player

[CoachJW]

When the whole thing happened, I figured that the best evidence in my case (which was to convince the official that it should be a T) would be that the sub was not at the table within the 20 seconds. I asked for clarification on that, and the official had to go back to the table to ask them. The answer I got was "Coach, they (the table) said that the sub had reported on time." I was coaching the host school, so I didn't have a lot to say back to that.

However, I think you're right in that it was poor management by the officials in putting themselves in a position to ask the table that question. And when the disqualified player was still on the court after the 20 seconds, that seems like at DOG warning at least.