I don't pretend I know anything about the electrical stuff but...
When my battery should die, I throw a switch and pick up the power off the back up battery. That battery then only operates mission essential equipment long enough to get on the ground. Would my back up battery not just die simultaneously as the main dies if it were wired together? It seems to me that doing it that way would be the same as just installing a bigger battery. Maybe I am just showing how niaeve I am.