Football operations manager Adrian Anderson said roughly a quarter of fans responding to a survey on AFL.com.au were in favour of the move. After going live on Wednesday the survey received over 6000 responses in two days.
"On the website, about 25 per cent of people actually support it and I would say 99 per cent of people in the media oppose it," Anderson told BigPond Sport on the weekend.
"There's more support for that in the general public than the impression you would get from reading the media, where there's some very vocal opposition."
The proposal was one of seven floated by the League this week following discussions with clubs, coaches and players.
The AFL is seeking feedback from all 17 clubs, along with fans, via the online survey.
Anderson said the suggestion to alter the game's scoring system was originally put forward by a coach.
"That came up in one of our club consultations when we were talking about a topical goal umpiring error; it might have even been in the context of discussing the Tom Hawkins example from last year's grand final," Anderson told BigPond Sport.
"One of the coaches said to us, if it snicks the goal post, because the cameras now can detect any minor snick, just let it be a goal.
"We brought that up for discussion and there was a general view it was worth putting up as a proposal."
Wednesday's proposals generated fierce debate, particularly surrounding the suggestions to alter the scoring system, cap interchange restrictions and shorten the length of the game.
After completing this round of consultation, the League will decide a final set of proposals to be considered by the AFL executive and commission later in the year.
Anderson defended the AFL's recent record of rule changes and said any future changes would be carefully considered.
The League introduced the current ruck centre circle rule in 2005, and legislation protecting a player with his head over the ball in 2007.
"We don't lightly alter the rules of the game," Anderson said.
"A lot of the changes we have made have actually been very successful in preventing injuries to our players.
"If we hadn't made bold decisions to change the ruck, or if we hadn't protected head and neck, we could have seen some terrible head and neck problems.
"People forget the ruck rule was very unpopular at the time, and the kick-in rule - bringing it straight into play - according to a number of coaches was going to be the death of the game as we know it and types of athletes would go out of the game," he said.
"It hasn't happened. Any changes with rules are carefully thought through and a lot of research and time and effort goes into them."
