While "spit curls" is indeed a term used, it's not the *sole* reason why pin curls are *also* called spit curls. The name "spit curls" came from the fact that saliva was sometimes used to help hold the curl in place, particularly in the front or around the face. The dampness and slight stickiness of saliva could aid in shaping and setting the curl.
So, the statement is partially correct but might be interpreted as *only* referring to the use of saliva, when that was just one method. Water, hair gel, or other setting lotions were also used. The term "pin curl" is more encompassing of the technique.