The Fairness and Accuracy in Reporting website suggested that this might pose a conflict of interest.
The NYT's public editor, Clark Hoyt, debated the issue under the headline "Too Close to Home". He praised Bronner's journalistic integrity, but suggested that he should be given a "plum assignment" somewhere else during his son's service in the IDF.
Bill Keller, NYT's executive editor, responded by saying that Bronner would not be removed from the Jerusalem Bureau, though he acknowledged that there might be a potential conflict of interest.
The short-term result of this debate seems to be that Bronner will continue in his post. However some readers will be unhappy about this and will look for evidence to back their case.