And yet :
IR 17
1737-1769: Cajetan Graf Kolowrat-Krakowsky
1769-1773: no Inhaber
1773-1780: Johann Baron Koch
1781-1796: no Inhaber
Source: Andreas Graf Thürheim
Gedenkblätter aus der kriegsgeschichte der K.K. oesterreichischen armee
Volume I
Volume II
These works do not however list Prince Ferdinand as an Austrian Field Marshal nor an Inhaber of an Austrian Regiment.
Good hunting.
Ron