And to log hours as PIC(US) you have to fly with Training capt, Instructor or Examiner. You shouldn't log any flight as PICUS when you are on controls
This is not true and confirmed both by UK and Dutch CAA to me in writing. You can log PICUS in a JAR25 multicrew environment whenever acting as PF. This has to be countersigned by the PIC in the remarks section of your logbook or alternatively a signed statement from your company certifying your (PICUS) hours.