Pete Rose bet on his own team when he was the manager of that team. That has a direct impact on how he chooses to manage that game, especially in terms of the pitching staff.
Pete Rose also bet as a player.
The thing about he bet on the Reds only to win is a non-starter. Did he make managerial decisions such as leaving in a pitcher too long, or start a reliever too soon because of his bet on that game?
Rose lied for years about betting on baseball. It was only when the records came out that showed him betting on baseball as a player that he admitted he did. Rose was a great player. But he put his gambling before the team. That speaks a lot about him.
He bet on his team to win. MLB never produced any evidence to the contrary.