It is alleged she positioned her SUV to block the truck from leaving the address but one of the movers stood behind her vehicle to direct them around her.
Tabb is then said to have driven into the victim twice causing him bruising to his left thigh and a fractured finger on his left hand.
Justice Whata said the defendant's explanation was much different.
Tabb claimed she was taking evasive action to stop the removal truck ploughing into her and was unaware the man was behind her.
Her lawyer Marie Dyhrberg, QC, said the impact of her client's name being published would be severe both on her income and professional reputation.
She accepted there was no direct evidence before the court to show Tabb would suffer "extreme hardship" if her name was in the media, but it was one of those "awful conundrums" - the harm could only be proven once the defendant was named.
Crown prosecutor Kate Eastwood said the case did not meet the high threshold to merit suppression.
Justice Whata agreed but said he had some sympathy for Tabb.
He was convinced, though, that any detrimental effect on the lawyer would only be temporary.
At the earliest, Tabb's jury trial will begin in Auckland District Court in May.