I don't think he threw the second Ali fight. It's possible but it's not like the "phantom punch" was a knockout blow. People forget he actually got up (which is why I always found the story behind that famous Ali picture misleading) and continued fighting after the knockdown. Joe Walcott didn't keep a count so it was after they started fighting that he broke up the action because the timekeeper said he counted to 10.

If Liston was going to throw the fight, I always imagined he would have stayed down but who knows. Given the fact that he got up though I always felt that to be an unfair assumption.