Ending timeouts early

[Lotto]

The situation: Team A requests a timeout, which is granted. After a short while, team A breaks its huddle and their players return to the floor.

Question: May I ask the timer to sound the warning horn to give the other team 15 seconds to get ready to play?

The rule: NCAAW Rule 5-13.14a says, "The team that requests a timeout may shorten that timeout when the captain/ head coach notifies the official of the team’s intent."

May I consider the breaking of the huddle and players returning to the floor a notification that that team intends to shorten the timeout?

(A timer squawked at me the other night when I asked for a horn saying that I was misapplying the rule. I didn't appreciate his squawking, but I do want to get things right.)