I don't think the writing is nessessairly the same, I think that the melody and the pattern used in the songs is pretty similar, the first few notes in "The One" are almost exactly the same as Christina Aguilera's "Beautiful" which was written by Linda Perry, so that leads me to wonder if maybe Linda helped influence the melody to "The One" after "This Time" was written. I guess they are pretty similar, which actually make "Put Your Hands on Me" stand out a bit more than the other two....