Using a bit of logic, I see very little advantage of this. If you must move a player, it will be from a table that has more than 6 players (otherwise you would be breaking a table. Let's average that at 8 players when you move a player. You have a 1 in 8 chance the button is where TD says it is. 7 out of 8 times it will be inaccurate and you will have to return from the table to your machine to either set the button manually or manually select a player to move.
In my experience, the hands play a lot faster at the beginning of a tournament than later in the tournament and also when the average stack is less than 15 big blinds. Deeper stacks tend to play much longer per hand.
Not my intention to be negative, but as a player, 1:8 odds aren't something I would play.
Jody