"This business with the rounds looked really bad so we'd like to give Sonny Bill, a chance to restore some credibility to the sport," said Higgins. "Right now, we are looking for an opponent for David and we'd like to offer that fight to Sonny Bill and his people.
"I'm not sure they will take the fight. I'm thinking they would probably rather drop the belt [surrender the New Zealand title] than take the fight."
"Dropping the belt" is what happens if titleholders do not fight challengers rated as mandatory by boxing associations. Higgins thought Williams could fight one or more bouts against special challengers - like the Botha fight - but would eventually be directed to fight an opponent ranked by his home association or surrender the title.
Williams' bout against Botha was also for the World Boxing Association international heavyweight title - one of those lesser titles put up by boxing associations to bestow an air of credibility to what is, in effect, only a non-title fight.
Lance Revill, the president of the New Zealand Professional Boxing Association and the body which manages the New Zealand title held by Williams, said from Rarotonga that he had been unable to watch the Botha fight and would not comment.
Higgins, asked how a fight could be shortened from 12 rounds to 10 during the bout, said some bouts were controlled by promoters who paid all those involved - the judges, the referee, sometimes even the commentators - and who might then be subject to suggestion.
"In those circumstances, I would imagine that all it takes is for the promoter to front up to a judge or a referee, eyeball them and say, 'It's a 10-rounder, got it?' No one worried about credibility or the integrity of the sport would ever dream of doing that - but that's all it would take."
Higgins also said the Williams-Anthony Mundine-Nasser camp got it wrong when Mundine was well beaten by Daniel Geale recently.
"Geale won an overwhelming number of rounds. It wasn't even close. Anyone who knew anything about boxing would know that. After the fight, Mundine left the ring and wouldn't say anything, saying later that he'd been robbed. If he watches the video, he'd see he wasn't."