The problem with digging/speculation when emotions are high in general:

Person A makes a speculation.

Person B interprets Person A's speculation as the most likely explanation of the situation.

Persons C, D, and E overhear Person B describing Person A's speculation as fact, and start a mob over it. (Person A was wrong, by the way.)

This continues to snowball until people who were originally close to the situation (and are themselves still struggling to put the pieces together) are put through even more unnecessary trauma by complete strangers, in the middle of one of the most upsetting moments of their lives.

The alternative is to wait until the people most directly affected have had time to cope, get affairs in order, and figure out how to adequately convey what's happened to the greater population.