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"Why it was not removed on day one post-election is a bit of a mystery. The people voted in the well-telegraphed knowledge that it would be gone."

There is no mystery.
What happened is you heard the oft repeated slogan devised by Mark Textor, the Liberal Party employed pollster and strategist.
Scrap the Tax resonated with you and you assumed that a Coalition win would mean that electricity and gas bills would fall by the 5% attributed to the Carbon tax (say $25.00 on a $500 quarterly bill)

Underlying that slogan was the detail that the Coalition would introduce carbon tax repeal legislation at the earliest opportunity if they won office. They also stated that the tax would run it's course until the end of the financial year.
The reason for that is the big polluters who are liable for the tax and pass it on down the line don't pass that money on to the Government each day the money is collected.
What they do is collect the money and hold it. At a financially opportune time they use those funds to buy permits which they surrender at specified future dates.
The system revolves around a financial year so ending it at the end of the financial year avoids having to administer a costly scheme to refund the CT to those who have paid it all the way down the line.

Currently the Government are part way through a green paper, white paper process to devise their own Carbon abatement plan.