You could argue that it's indicative of bias for the NYT to break such a story at all, but it's in the public interest to know the financial solvency of their leaders. At the risk of conflating news and opinion, there was no shortage of opinion pieces calling on HRC to release her speeches - also in the public interest.

It's difficult to ask the NYT to "establish a reputation of trust" when it already has one, deserved or not. Such a request, to the editors and ethicists of any media outlet, is just a nice way to ask for more favorable (or perhaps less damning) coverage of your candidate of choice.