The first time I heard Sandler & Young's version of "Let It Be," I thought, "It's odd to hear two baritone voices covering a Beatles tune, especially this one, but it kind of works."
I think the key to that remake's success is the bounce in its step, especially in the piano part. The rhythmically spoken outro, "There will be an answer. Let it be," is an amusing way to end the tune, as well.
It's best to remember that not every cover version is intended to surpass its original rendition. Often, the point of a cover is simply to put a new spin on a well-known hit.