I can't believe this has gone on so long - the FAA allow a pilot to "log" PIC any time they are sole manipulator of the controls of an aircraft for which they are rated. PICUS on an EASA aircraft obviously satisfies that.
The only grey area is if the EASA type rating has a "no pic" endorsement, which could be construed as you can't log PIC. A bit of logical reasoning will conclude that's bollocks: it simply means you can't sit on the left. EASA specifically allow you to log PICUS from the right seat to get the hours for an ATPL so that you CAN sit on the left - which is exactly what the issue is here.