The console exits when it sees an EOF at stdin or stdout.
The following solution should prevent it from seeing such on a linux machine, and thus creating a de facto daemon mode:
cd /opt/mythruna/Mythruna-Server-20120627-Linux
rm -rf /tmp/srv-stdin
mkfifo /tmp/srv-stdin
cat > /tmp/srv-stdin &
cat /tmp/srv-stdin | ./Mythruna-Server-20120627.sh &
And the ability to shutdown the server with:
echo "exit" > /tmp/srv-stdin
But, alas, I still have something amiss. If I end the remote session, the "cat > /tmp/srv-stdin &" still exits, and thus sends an EOF to the console.
I will keep trying.