A normal FOQA download is protected and only the gatekeepers are "supposed" to know the specific flight details. A smart analyst can usually figure out which flight an event occurred on, but there are numerous legal protections in place. If a question arises during the analyzing of an event, usually a gatekeeper and not a company analyst will call.

If an aircraft is involved in an obvious incident and the DFDR is downloaded, traditional FOQA protection does not exist. Your union safety rep is the best person to ask about all of this since the specific procedures of FOQA varies from airline to airline.