They took the cut where Andy Williams did best - screw the orchestra!
I found 4 or 5 different recorded performances of 3 different versions by Andy Williams. The one "marginal" one is on a collection of Christmas songs, the one I linked to was from a TV special that ran every year. It was obviously recorded somewhere else with a different engineer and band. We used to watch those specials at home. My folks trashed all of the records though.
I have a Sinatra collection with a missed note in New York, New York. So what! I bleed red just like those guys do and am greatful when my best take is the one that gets chosen - it doesn't always happen though!