Rennie said the mooted change was previously discussed by the law committee but quickly dismissed, and he remains skeptical it will help improve the game and make it easier to watch. Rather than encouraging teams to play open and entertaining rugby, he fears it could have the opposite effect.
"It was brought up a couple of years ago as an idea adopted from France and we squashed it pretty quickly," he said.
"For us, of all the things that we could change in our game that would make it better and easier to watch, the bonus point system wasn't one of them.
"The trouble with this is Sanzar are trying to make changes that will force us to play a certain way but, realistically, teams will play the way they want to play.
"They think that if you score four tries and the opposition has scored two you've got to keep playing and it's got to make the game better. But realistically, if a team, let's say we're up by four tries with 20 to go, we may say, 'oh, we're going to close shop' because the only way the opposition are going to score is by us making mistakes. So you end up slowing the game down and playing less."