Correct!
The piece is called a "Blish Lock" and slides into both the top of the bolt and the bottom of the bolt carrier (actuator). The principle is called the Blish Principle. I know for sure that it was used in the 1928A1 and was not in the M1 version. I may be wrong, but I'm pretty sure that the M1 was the first model made without it. This model incorporated many changes for the simplicity of manufacture, One piece bolt, no cooling fins on the barrel, no Cutts Compensator, simple rear sight and side cocking handle.