Don't even go there. This is a Gershwin tune and the songs of George & Ira Gershwin often transcend the artists who perform the songs. This one's been covered by all the greats and it's still being covered today by modern artists.
A-Log just happened to play Sinatra's version from 1980 (the song's from a 1937 Fred Astaire/Ginger Rogers movie) - from the same greatest hits compilation that spawned Sinatra's definitive version of "New York, New York", the song that brought him back from musical limbo. ...Or maybe Sinatra made a cover of it years earlier. Maybe...possibly.
Who knows? Billy May might have helped arrange that whole album. He was a multitalented composer...
For the love of Satan, don't just go by whatever title you see posted by someone on YouTube. They're often misleading, incorrect and/or very unofficial.