Logging time in a P51D?

Anybody care to take a shot at this question?

I took a ride in a P51D recently. After we left the pattern the
owner, in the front seat, let me (in the back seat) take over the
stick for the next hour. Then in the pattern he took over and landed.
I was the only one who touched the controls for an hour. I have a
PPL with plenty of time in tail draggers (170's, 180's, Tcraft,
supercub, etc) and in complex, high perf, and RG planes (182's,
Vikings, etc). I am current in SEL planes but I haven't flown a
taildragger in some time (20 yrs) and of course everything else is
current; medical, BFR, etc. Can I log the hour towards total time or
should I just log it for the memory?

M. Grinnin