The last few weekends has also potential entrants flat out at the Porritt Classic in Hamilton and Capital Classic in Wellington, while the Sir Graeme Douglas International Track Challenge will be held in Auckland on March 21.
In addition, the New Zealand Athletic Championships are in Christchurch this weekend, while potential Australian entries for Whanganui were less likely due to the World Athletics Continental Tour Silver Queensland Track Classic in Brisbane, also on March 21.
Therefore, Sears said they would not run Mile championships as a stand alone event this season.
"Taking into account the number of athletes not available this March, next year's NZ One Mile Championship, with agreement with Athletics NZ, will be incorporated into the Cooks Classic, scheduled for January 2021."
Held over Whanganui Anniversary Weekend, the Cooks Classic leads off the three classic events with Porritt and Capital.
Naming the meeting after Snell was an opportunity to celebrate the night in January 1962 when the Olympic gold medallist made Cooks Gardens world famous by setting his first One Mile world record and breaking the four minute barrier (3m 54.4s).
Sir Peter - who died in his sleep in Dallas on December 12 - had been a supporter of bringing back the Mile championships.