Queens Of The Stone Age have also pulled out of this year's event “due to restrictions and logistics.”
The original version of the song features on Wilson's recent UK Top 5 album, 'The Future Bites'
Download is the latest music festival to cancel its 2021 event, but Iron Maiden, KISS and Biffy Clyro will return to headline next year.
The event raised vital funds for music therapy charity Nordoff Robbins, which expects to lose 50% of its income in 2020 due to Covid-19.
Next year's event will run from June 4-6 at Donington Park, Leicestershire.