GtE
Auster = yuck!
imho...
To the OP, you have a lot of info here. Basic thing is no one has suggested my to do it. There is value in doing it on a Cub or first and moving to other more expensive types. There is also value to doing it on the Moth or Chippie first. Cost, and what you want to do with it afterwards should help point you in the right direction. Don't discount other types if the opportunity arises, again depending on what you want to do with your flying.
PS agreed that the negative comments about the Moth are tosh. It's not the most beautiful handling aircraft, but it's a great trainer.