I think you would need the endorsement to log PIC. I don't have the FAR's handy, but the high -alt endorsement is certainly required to act as PIC.
There may be some gray area about logging (not acting) PIC in an airplane for which you have category and class ratings, but lack an endorsement.
But I would err on the side of caution...employers might take a more literal interpretation, and an interview is the last place where you want to debate regulatory technicalities.