Cannot tell from the article much of anything except that someone who apparently (not clearly established) owns
DVC was the alleged perpetrator. We do not know how hard the push actually was, apparently no real injury occurred, but someone appears to have contacted the police, possibly more out of concern the situation would get worse.
What happened, if it actually occurred, is improper conduct but legally the potential crime, if one was actually commited, was not trespass, even if the perpetrator was not a DVC member, because the restaurant is open for entry to the public, i.e., there is no evidence of improper entry. Possibly it was assault (conduct threatening bodily harm) and battery (the actual hitting of the body) . That the employee and those in charge of the restaurant did not want to proceed with charging an actual crime is a choice often made in similar situations when the situation is resolved by the perpetrator calming down and leaving and no real injury has occurred.
Disney, if it believes the situation indicates further action is needed, might possibly ban the perpetrator from the restaurant, or possibly even from Disney World, for some period of time, but from the viewpoint of just DVC, there is actually nothing it can do, What happened is not something actually covered by any of the terms of the POS and DVC contracts and it did not even occur in a DVC building, and the perpetrator could not be forced to relinquish his DVC ownership.