Put me down in the Hate This Idea group. Its creative, but in a galaxy with millions or billions of ships, having Anakin own the same ship as Lando/Han doesn't make any sense. I know Anakin is good at tweaking ship, so it might make sense from that perspective, but there are too many other flaws in it for me.
#1 I always got the sense that Han and Lando made the modifications to make the ship faster and more maneauverable. If it was Anakin, then hat just further dilutes the character and use of anyone who's not a Jedi in the SW universe.
#2 Anakin seems to prefer fast, sleek, 1-man fighters. It doesn't seem like a bulky, "ugly" freighter would be his vehicle of choice.
#3 Its bad enough that Vader doesn't recognize threepio. He certainly would have recognized "his ship" aiding in the destruction of the first Death Star. Not having any reaction to the ship in the movies if he truly owned it or had anything to do with it before is a problem.