Sorry the BG in me is annoyed. Those guys playing the snare drums are not real drummers. You don't hold the sticks with overhand grips for both. 1 is overhand, the other is palm up.
I played marching snare in high school in the late 70s. We used "match grip" ... both sticks held with the palms down.
When playing and marching, not only does matched grip make it easier to play having both wrists working in unison vs. one making downward motions and the other making upward motions, but it results in a whole lot fewer dropped sticks!

I've seen it stated that most percussionists prefer matched grip more than the traditional grip, as it promotes efficiency, quality sound, as well as comfort.
The whole reason the traditional grip was used in the first place was that drums were carried at an angle and to the side, to prevent the drum from banging into the drummer's leg. When I played, we kept the drumhead pretty flat horizontally, and used a strap and brace to tie the drum to one leg. That let the drum move with the leg instead of banging into it.
I was lucky that I started percussion the year we switched to matched grip. The other drummers had to un-learn the traditional grip -- a habit that was hard to break.