I dunno why. Maybe because they didn't have George Harrison to replicate his guitar work from the studio version. I just learned from George as quoted in Wiki that the song title was a mixup:
"I helped Eric write "Badge" you know. Each of them had to come up with a song for that Goodbye Cream album and Eric didn't have his written. We were working across from each other and I was writing the lyrics down and we came to the middle part so I wrote 'Bridge.' Eric read it upside down and cracked up laughing – 'What's BADGE?' he said. After that, Ringo walked in drunk and gave us that line about the swans living in the park."