Avman is correct about maintain/continue.
Back to this issue; did the tower controller have any way of knowing that the aircraft had deviated from the sid due to the original 'set up' up error? If they didn't have radar/visual contact/DFTI/ATM, or comms with somebody who did, they would never have known.
It is more likely that the aircraft got airborne, tower passed the a/b time to the ACC or APP and were given a re-clearance of runway heading; In the tower controllers haste to re-clear the dep before the sid turn, they put some kind of infliction in their voice (subconsciously) to indicate the urgency. However, Joe pilot had made a simple error, which they were hastily correcting but were expecting a minor rebuke. The arrival of the re-clearance and the expected rebuke unfortunately arrived together, I guess you could call it a trap.
How to avoid it in the future;In my experience, controllers speak with a very literal meaning and purpose. What they say is what they mean, phraseology has evolved over 60+ years to mean what it should. Follow the instruction as an instruction, unless it endangers your aircraft. Facial expressions, raised eyebrows and tones of voice lose their meaning on RT like a joke about somebodies mother on an email. Sadly to have the best RT interpretation you should developthe skills of the mildly autistic, but this is unlikely to get you many friends on the flight deck.
