Here's the demo I have always thought was her first run-through with the band:
https://www.youtube.com/watch?v=SOQmPdvV5m0
If Lindsey recommended a faster tempo, good thinking. But I don't get the sense from the song's original construction that it would have been a likely slow tune. Can't imagine it anyway.
For what it's worth, Todd Sharp in his Q&A says he remembers the original conception for "Love Will Show Us How" was a slow, acoustic song. There, I CAN imagine those verses being sung at a slower speed.