That explanation is entirely inconsistent with sambellll's statement that when the user clicks a floor, the display tells them what elevator to take, and that elevator is then locked into going to that floor.
Also, I don't think that destination dispatch would work if the elevator didn't commit to going to the users's floor at the point the user got onboard. It may also stop at additional floors that weren't committed to when the user entered, and it may drop floors it was thinking of going to before it picked up the user (if the user onboard isn't going to those floors), but once the user gets onboard, that floor is a hard commitment.
Also, I don't think that destination dispatch would work if the elevator didn't commit to going to the users's floor at the point the user got onboard. It may also stop at additional floors that weren't committed to when the user entered, and it may drop floors it was thinking of going to before it picked up the user (if the user onboard isn't going to those floors), but once the user gets onboard, that floor is a hard commitment.