Hello Thilip,
the SNCSKERB PSE will not be shown in STRUST.
Kerberos authentication does not require certification from a higher hierarchical
PKI instance like in X.509. The trust instance is the KDC (Key distribution center = Windows Domain Server), the tickets handling uses symmetric key cryptography, so there is no need for a hierarchical PKI structure.
Each Kerberos tickets has a validity and it will be automatically renewed if it is expired by the next SNC session.
best regards
Alexander Gimbel