Peter wrote:
Jose wrote
*What* can he log this time as?

Can he log instrument time, or (if under the hood) simulated
instrument time)? What if the whole flight is VMC on top (most
likely).

He can log PIC as sole manipulate of the controls per 61.51(e). He can
also log actual instrument. Note that in the U.S. BEING PIC and LOGGING
PIC are very, very different things. In the case you propose the
instrument rated pilot in the right seat can log nothing since there is
no provision under 61.51(e) for logging time just because the flying
pilot isn't fully qualified, even if he (you) is serving as PIC.

-Robert