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I'd have to disagree with you on the "consensus" that Muppet Caper was the best Muppet movie. Don't get me wrong, Caper is in my collection right next to Muppet Movie, but I feel the original Muppet Movie strikes a much more effective balance between storytelling and winking at the audience about storytelling. Muppet Caper never, ever lets you forget you're watching a movie, but the Muppet Movie only occasionally reminds you that this is so.
In addition, Movie doesn't have any fall-flat-on-their-faces moments like the one in Caper where Kermit breaks from the script to scream at Piggy about overacting. That's always been one of my least favorite Muppet scenes--its' part of the Muppets' charm that their jokes fall flat fairly regularly, but it's very rare that venom is the emotion left to fill a scene in humor's absence. Particularly venom from Kermit.
Also, Piggy plays much better as a foil/fop than as a heroine.