Sadly I find it beyond credibility that anyone nowadays would be daft/irresponsible enough to try to fly for 4 days virtually without sleep, any more than any Aviation Authority would be ditto to allow them to.
The record was taken by a horrendously overloaded British built, British engined aeroplane with (alledgedly) under 200Hp and no autopilot.
Can't see that being replicated anytime soon, and breaking the 200Hp no autopilot ethos would make a mockerey of any attempt, as would relays of pilots. Forget it.
Let AH's record stand.