Dont those two paragraphs contradict themselves? Here, Ill show you, and correct me if I'm wrong:
Keep the elbows tucked and the bar directly over the wrists and elbows.
This is probably the most important aspect of great pressing technique. The elbows must remain tucked to keep the bar in a straight line as explained above. Keeping the elbows tucked will also allow lifters to use their lats to drive the bar off the chest. Football players are taught to drive their opponents with their elbows tucked, then explode through. This is the same for bench pressing. Bench pressing is all about generating force. You can generate far more force with your elbows in a tucked position compared to an "elbows out" position.
The most important aspect of this is to keep the barbell in a direct line with the elbow. If the barbell is behind the elbow toward the head, then the arm position becomes similar to an extension, not a press.