One of my favorite pet peeves, YES you can and that is what I do and have done.
Both previous on the C525 and currently on the B737 I have a full type rating which allows me to log PIC when I'm sole manipulator of the controls.
During IOE I logged both PIC and dual received because you're essentially receiving instruction from an ATP regardless if they hold a MEI.
Now on an interview or application they will specify if they want PIC time or Captain ( signed for the airplane) PIC time.
Then you just fill out 0 (zero) or look at when you did your upgrade line check and deduct from your total PIC.
You need to look at 61.51, not the definition in part 1.
(e) Logging pilot-in-command flight time. (1) A sport, recreational, private, commercial, or airline transport pilot may log pilot in command flight time for flights-
(i) When the pilot is the sole manipulator of the controls of an aircraft for which the pilot is rated, or has sport pilot privileges for that category and class of aircraft, if the aircraft class rating is appropriate;
(ii) When the pilot is the sole occupant in the aircraft;
(iii) When the pilot, except for a holder of a sport or recreational pilot certificate, acts as pilot in command of an aircraft for which more than one pilot is required under the type certification of the aircraft or the regulations under which the flight is conducted; or
(iv) When the pilot performs the duties of pilot in command while under the supervision of a qualified pilot in command provided—
(A) The pilot performing the duties of pilot in command holds a commercial or airline transport pilot certificate and aircraft rating that is appropriate to the category and class of aircraft being flown, if a class rating is appropriate;
(B) The pilot performing the duties of pilot in command is undergoing an approved pilot in command training program that includes ground and flight training on the following areas of operation—
(1) Preflight preparation;
(2) Preflight procedures;
(3) Takeoff and departure;
(4) In-flight maneuvers;
(5) Instrument procedures;
(6) Landings and approaches to landings;
(7) Normal and abnormal procedures;
(8) Emergency procedures; and
(9) Postflight procedures;
(C) The supervising pilot in command holds—
(1) A commercial pilot certificate and flight instructor certificate, and aircraft rating that is appropriate to the category, class, and type of aircraft being flown, if a class or type rating is required; or
(2) An airline transport pilot certificate and aircraft rating that is appropriate to the category, class, and type of aircraft being flown, if a class or type rating is required; and