In configuration for movement type from STO transfer (transaction OMJJ)
-movement type: 101
-movement indicator: B
-receipt indicator: X
-insp.lot origin: 08
It doesn't have any difference between inter- and intra-company STO within MM movement type.
As I know, the exit QAAT0001 works for 08 inspection type.
Otherwise please try to implement the BAdI "INSPECTIONLOT_UPDATE" - "CREATE_AT_SAVE".
Regards