In the clip, he wears a light grey Nike-branded sweatshirt and sunglasses.
His right arm appears to have a blue cast on it.
Police confirmed they were looking into the robbery after Howell posted an emotional plea on social media asking people to bring those involved to justice.
He called those involved, believed to be a man and two others - including a woman - "true scum".
As his wife lay injured in her car, the group allegedly stole her handbag, her wallet and an iPhone 6.
They then made several purchases at a number of shopping outlets and petrol stations in Papakura and Takanini using a debit card that had been in the wallet.
"You sons of a b*tch were spending her money before she even made it to the hospital,'' he wrote.
Police are urging anyone who may have witnessed the robbery or know where those involved are to make contact immediately.
• Contact Papakura Police: (09) 295 0200 or CrimeStoppers Anonymous: 0800 555 111.