"It's time to get over it," Ms Lorck said in response to Mr Key's comments.
"I find it interesting that Key wants to make a historic tweet out to be far more than what it was. Perhaps he and Craig [Foss] should follow David and my lead and move on."
Ms Lorck said she had discussed the tweet with Mr Cunliffe. "He really listened to me, he gave me more time and respect over how I felt about the DHB sacking than I could have ever asked for, and for me that showed true leadership," Ms Lorck said.
A spokesman for Mr Cunliffe's office said: "The comments were historical, they arose out of a particular context in which Anna Lorck felt compelled to make such comments and they don't reflect her current views."
When asked if Ms Lorck had been asked to delete the tweet, the spokesman said: "As far as we're aware, she [Ms Lorck] wasn't asked to remove the tweets."
The political blogs Whale Oil and Kiwiblog featured posts about the fallout from Ms Lorck's tweet yesterday.
Kiwiblog's David Farrar said: "I suspect Labour, however, want someone who can effectively campaign for the party vote and promote David Cunliffe to be prime minister. Ms Lorck does not appear to be that person ... So why is she standing for Labour?"
Whale Oil blog's Cameron Slater suggested Ms Lorck was "clearly still holding a grudge."