NFHS
I'm not advocating disallowing the sub in this case (whistle). All I'm saying is that you will have a smoother game and follow proper protocol (Rule 3-3 d) if you becon reported subs (the ones at the table or X ready to come in) just after the ball becomes dead. Experienced refs will glance over at the table for these subs even if the horn does not alert them. Call them in, resume play. If a straggler comes running over to sub while you are ready to put the ball at the disposal, then NO, you do not have to allow him until the next dead ball.
The best way to manage this is to ask the table crew not to buzz except for subs ready enter just when the ball becomes dead. Please, no late horn after the reported subs have entered. You might allow a straggler in once in a while, but a steady diet of it will disrupt the flow of your game (IMO).
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