There is only one "type" of pilot in command time. PIC. Logging PIC time, and acting as PIC are two different things, but in the airline world, they're not. You were either acting as PIC, or don't log it as PIC, in the airline world. If that's your ultimate destination, plan for it.

There are various legal rationale for logging PIC time, but there's only one PIC time. It's a subset of pilot time, typically referred to as "total time." There is no subset of pilot in command time.

There are many means by which to log PIC time. Future employers, particularly 121 operators, only care if you were the pilot in command, not if you used a particular rationale to log it. If you weren't actually the acting pilot in command for the flight, then logging it as PIC with a disclaimer (I wasn't actually the PIC, but I was logging it as PIC as sole manipulator) looks like you don't don't understand the program, and that you're padding your logbook. It smacks of desperation. Logging simply as PIC, which is the correct way to log, draws no attention. It's ho-hum PIC time. Unless you weren't really the PIC...which comes back to what employers wanna see. They just wanna see experience logged when you were the acting pilot in command: the pilot in command of record.

135 legs are relevant: if you were SIC, then you log SIC. Because you were never the acting pilot in command, and your'e concerned about logging in accordance with what future employers will want, then it's all SIC. If you were performing duty for a 135 operator, it's 135, regardless of what you or they want to call the legs, it's 135, and you're SIC.