He did survive.
His wife was Frieda KIRMAYER, born HEINEMANN (*1900-12-31 in Munich)
They had a grand child, Wolfgang ZILIAN (*1941-09-21 in Berlin)
See Arolsen Archives - International Center on Nazi Persecution | 8316900 - Correspondence and nominal roles, done at Asten, Innsbruck, Kapfenberg, Salzburg, Villach, Wien: transport by train, airplane, ship (CHANZY, CLAUDE BERNARD, CROIX, DJENNE, FLORIDA, NAPOLI, SCYTHIA, SI ... for all three.
They were in IRO Camp 231, Steyr, Austria, from were they left 1950-10-10 for Germany.
Documents relating to Jacob
https://www.ushmm.org/online/hsv/person_view.php?PersonId=1324203
Documents relating to Wolfgang
https://mappingthelives.org/bio/5c9b4165-2d71-461d-aa61-f0ebade78ba0