I didn't say not to push you're head through. Watch olympic pressing, watch Vasily, watch log pressing. It doesn't look like they put their head through. I'm thinking maybe not doing it helps put some chest into it. I don't know, its not advice, its just food for thought. I push my head through, I feel the difference when pushing your head through (in my head its correct technique), I'm just wondering why the pro's don't do it.
Show me a video of a pro in any competition doing a big, successful press without putting his head through. To be counted in most events (including strongman), you have to get your head through and control the weight at lockout. By the same token, locking out and controlling a weight overhead requires getting your head through. If you don't put your head through and press out in front of yourself, you're going to have an uncontrolled, momentary lockout at best.