In attempting to cut out Joel McAnuff's driven cross, Nethercott only succeeded in diverting the ball past his own keeper.
With the influential Trond Anderson away on international duty and Gareth Ainsworth out injured, Wimbledon arrived at The Den on the back of a four-game losing streak and in need of a pick-me-up.
News that David Connolly was fit to start his first game since knee ligament damage provided that, but the striker understandably looked short of his best.
They could have expected few favours from a Lions side experiencing problems of their own, and keen to redress the balance in a derby fixture dominated by the Dons in recent years.
Without a League win over their London rivals since 1982, Millwall had the added incentive provided by their midfield pairing of ex-Dons Dennis Wise and Andy Roberts, but in truth missed the combative qualities of the suspended David Livermore.
But in an instantly forgettable and almost featureless first 45 minutes there was little sign that Mark McGhee's side were about to buck the trend.
Neil Shipperley provided the half's brightest moment as he attempted an audacious 40-yard lob that fell narrowly wide.
At the other end Neil Harris brought the first of several quality stops from Kelvin Davis, but the home side offered very little else.
Things improved marginally after the break, Tony Warner saving well from Shipperley's header.
And as the game stretched Kinet's left foot drive was acrobatically turned on to the post by Davis.
Kevin Davies slid in to shoot straight at the keeper while Paul Ifill found the sidenetting.
Davis' impressive afternoon continued with further stops to deny Ifill and Kinet, but in the end both managers agreed a draw to be the fair result.
Lions boss McGhee stated that "the two teams looked liked they belong where they are in the table."