Parker's two professional losses have come in the United Kingdom and he got raw refereeing deals in both of them so a return as an "independent" would be extremely risky.
In the world unification fight against Anthony Joshua in a freezing Cardiff in March last year, the eccentric ref wouldn't allow either fighter to get close and exchange – realistically Parker's only hope of a win.
In an even worse display of officiating in the fight against Dillian Whyte during London's heat wave four months later, Parker was burned by a referee who didn't appear to notice the Englishman's first knockdown was achieved via a headbutt.
For the sake of Parker's financial security, the time to strike a deal is now; in retrospect, it probably should have been last year because he got very little out of his fight against the out-classed Alexander Flores in Christchurch last December apart from a predictable knockout win.
The father of two girls, with another due very soon, made about $13million from the Joshua fight – effectively the pay-off from his WBO world heavyweight championship victory over Andy Ruiz Jr in late 2016 – and a deal with either Hearn or Arum would map out his fighting future for probably the next two years.
Who is the favourite to sign Parker? If I was a gambler I would pick Hearn, an Englishman with whom Parker and David Higgins get on well, and an individual, more to the point, backed by one of the wealthiest people in the United Kingdom. Hearn has cash to throw around – perhaps more so than Top Rank's Arum.
If Parker were to return to London newly signed up to Hearn's stable, he and his team would probably also feel they would get a better class of decision making from the officials.
That's just professional boxing, an often cruel sport which has broken many and also made many, and at this point you can put Parker firmly in the latter category thanks to his undeniable physical talents and mental strength but also his intelligence and decisiveness.
Parker's support team is comprehensive and caring, but no decision is made without his sign-off and as he's the one putting his health at risk every time he gets in the ring that's as it should be.