Never could get past the 'see you' which is a short, throwaway expression, and just sounds silly stretched over two long notes the way most sing it. 'Ride On' fits the notes fine. 'See' can be the same length, but 'you' needs to be half as long to make any kind of sense.

Try saying it aloud at that pace. Sounds like the end of a game of hide and seek, not a mock-casual, heart-broken farewell.

Now if Jimmy sings 'ya' it could work - but a long 'you' is just lazy interpretation (though Christy, and Christy alone, does pull it off).