Could Britannic have survived if she had received messages about approaching help after striking the mine?
Short answerPossibly; knowing assistance was coming could have encouraged a different damage-control decision instead of a run for shore that aggravated flooding.
NotesBritannic's mine damage is judged survivable in the argument for remaining stopped and awaiting assistance. Confirmation that help was approaching could have changed the captain's decision to run for shore. Moving ahead increased water entry, and the falling hull eventually brought open portholes in the hospital wards below the waterline. The wards were empty because the ship had no patients aboard, so nobody there was prompted to close the portholes as conditions worsened. Additional pumps and attention to watertight integrity underpin the proposed survival case. The decision to attempt beaching is nevertheless defended as reasonable with the information available to the captain.