Probably not not the exact same but neither we nor the band would have ever heard the original (if this weird "reel to reel shredder" story is true). The band knew how to play the song, they would have done another take and it would have been just as great. Different maybe, but they'd have still produced an excellent track, maybe with extra bits that made it even better. Or maybe the best version of the track was played in rehearsal the day before and never recorded, we'll never know.

Any musician or engineer with a lick of experience will know while it's nice to capture those lightning in a bottle moments, the vast majority of the time you're working with what you've got, and sometimes it's a hard slog of multiple takes and slicing the best bits together, or going home for rest to try again tomorrow with fresh ears.