i think that he simply liked the song, especially the lyrics, which will have been his 'cup of tea' at the time. I thought he added little or nothing too it, though.
There may have been others from the Weller canon that he could have done better (either better than he did TE or better than The Jam/Style Council/Weller has done).
How about (with tongue firmly in cheek) I was a Dole Dad's ToyBoy, or Bloodsports??