Below is the criteria for near fall. Highlighted the 4 inch criteria for you. Nothing in that exchange that I could see met the criteria
Section 5. Near Fall
Art. 1. Near Fall Criteria. A near fall is a position in which the offensive
wrestler has the opponent in a controlled pinning situation in which any one of
the following three criteria are met:
a. The defensive wrestler is held in a high bridge or on both elbows;
b. Any part of one shoulder or scapula, or the head is touching the mat and
the other shoulder or scapula is held at an angle of 45 degrees or less to
the mat; or
c. Any part of both shoulders or both scapulae are held within four inches
of the mat.
In any pinning situation,