The sportsmen expressed support for Prime Minister John Key and National in their tweets, which they later deleted and said they had not realised they were breaching rules.
Other referrals included people who had "shared" posts by MPs or parties that had been posted before election day.
A police spokesman said the investigation into the tweets was ongoing.
Mr Edgeler said the high numbers who cast advance votes during the campaign showed people were able to vote without being unduly or unfairly influenced by such things.
"That is probably pretty good evidence that people who vote on election day itself won't be influenced by a tweet or a Facebook comment."
Mr Edgeler said there should be a distinction between political parties and campaign groups who were election campaigning and people voicing personal opinions.
He also believed restrictions on the media should be loosened.
National-aligned blogger David Farrar also made a submission, saying the rules for donations disclosures should be changed to require monthly rather than annual disclosure of donations of more than $15,000, and for weekly disclosure in the lead-up to an election.
He said voters should know about donors before rather than after an election.