Korobeshko was attempting the Bass list of seven summits while she was attempting the Messner list - considered more challenging by mountaineers, Miss Going said.
The Bass list includes the highest mountain of mainland Australia, Mount Kosciuszko (2228m), as the Australian continent's highest summit while the Messner list replaces Mount Kosciuszko with Indonesia's Puncak Jaya, or Carstensz Pyramid (4884m).
"My attempt to climb the seven summits has generated a lot of publicy and she's getting press out of it," Miss Going said of her rival.
The injury sustained on Mt Aconcagua, and the delays it caused, means Going has had to reset her schedule will have to reclimb Mt Elbrus to achieve the speed record.
She is also considering climbing to the summit of Mount Kosciuszko to beat Korobeshko's record attempt for the Bass list.
Next month, she plans to head to Europe to attempt to set a new record for climbing Mt Blanc, the Matterhorn and the Eiger in succession.
In December, she relaunches her Seven Summits bid by heading to Antarctica to tackle Vinson Massif (4892m).
Climbing is a far cry from Going's most recent occupation as a publicist, helping celebrities get into, or stay out of, glossy magazines.
She worked with Miss New Zealand 2010, and has appeared in the social pages of Auckland newspapers.