I have bought a PDF of ASoBH and as advertised it's pretty much the same as the original with added reactions and broadened magic system.
I was initially puzzled by the rule around turn over. It used to be explicit (in old SoBH) that a two fail/one success roll allowed the player to take his one success before the turn over. From the rule as written, I inferred that the turn-over happened with the same timing as a reaction - immediately and the phasing player takes no action. The next section in the rules was Reaction - clear enough. Then I expected an explanation of Turn-over - and nothing.
I see this has been clarified by Andrea on Yahoo - the phasing player does take his action - but it's a surprising omission for a ruleset that has had so many iterations.