Airlines want to see PIC time in accordance with Part 1 (ie. responsible for the aircraft), and don't care about Part 61 PIC (ie. sole manipulator).

Its your logbook, log it how you want to...but be fully prepared to justify in an interview why you logged a bunch of turbine PIC time when you were a first officer who never signed for the plane AND for the people interviewing you to frown upon your reasoning.

IMO, doing so is a high risk/low reward proposition.