This was not the case, and the film was never made, but the origin story of the invisible plane intended for Worlds Collide was later worked into the stand-alone film Justice League: Crisis on Two Earths, as noted below.
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In the 2010 animated film Justice League: Crisis on Two Earths, Wonder Woman commandeers an attack plane from Owlman (an evil version of Batman) while the Justice League is on a parallel Earth dominated by their villainous counterparts, the Crime Syndicate.
The Invisible Man | Snakes on a Plane | The Invisible | Invisible Man | The Invisible Man (2000 TV series) | plane | Outlands (plane) | The Legend of the Invisible City of Kitezh and the Maiden Fevroniya | The Invisible (film) | Prime Material Plane | Jay Jay the Jet Plane | invisible | The Plane Train | The Invisible Circus (film) | Next Plane Out | Invisible Children | Inclined plane | William Plane Pycraft | The Invisible Man Returns | The Invisible Man (1975 TV series) | The Invisible Circus | Invisible Waves | Invisible Empire // Crescent Moon | inclined plane | Col de Joux Plane | The Plane Makers | The Invisible Man (film) | The Invisible Man (1958 TV series) | The Invisible Life | Plane Crazy |
By the later pre-Crisis adventures, only Wonder Woman was shown to possess a mental radio outside of Paradise Island, and it was installed in her invisible jet.