I'm surprised someone on the crew thought it necessary to make a statement to passengers indicating the airplane they had been on was unsafe to fly.
A bad door seal would be an inconvenience, but would seem unlikely to be a safety issue unless the plane couldn't be made to hold sufficient pressure.
Somewhat related historical note:
The largest loss of life in any USAF aircraft accident was due to the failure of the locks on the (huge) cargo door of a C-5 aircraft during the first flight of Operation Babylift
at the end of the Vietnam War. When the door tore away it severed all control lines to the tail --so, no rudder, no elevator control. One aileron remained functional. Through some fairly amazing airmanship the crew was able to fly the plane back to Vietnam and a controlled forced landing. 138 people died, 178 survived the crash. The pilot's account of the event is here