Just a silly statement by the announcer. The ref was in far better position to evaluate the situation than was the announcer.
The rule book states:
"Any part of both shoulders or part of both scapulae (For pinning area, see Illustration No. 2.) of either wrestler held in contact with the mat for one second constitutes a fall. The one-second count (one-thousand-one) shall be a silent count by the referee and shall start only after the referee is in position to observe that a fall is imminent, after which the shoulders or scapulae area must be held in continuous contact with the mat for one second before a fall is awarded."
It seemed to me that the ref was checking the left shoulder/scapulae, then switched to the right side, determined that the right was in a pinning position, then switched back to the left and verified that the right was also in a pinning position. That's pretty much what you're taught to do as a ref. The only question is when does the 1 sec count begin, and that's difficult to answer when the offensive wrestler blocks a view of one side. When the ref's view is blocked so that they can't see both sides, they'll generally start on a side, once that's flat then switch to the other side (the right, then the left in the video), then conclude that side one (right in this video/example) is in a pinning position, then switch to the other side (left in this video/example) and check on that, and if side two is also in a pinning position conclude that the sequence took 1 sec and signal the pin. In essence, the refs check 1 side 2 times, which may mean that the defensive wrestler is in a pinning position for more than 1 sec, but the ref can't assume anything, which is why the extra check is made.