EDD, The bullets used by US military snipers are, as you say, hollow point (not "open tipped) BUT those "hollow" points are generally not hollow all the way to the lead core but hollow only within the jacket.
I once shot a tom turkey with a hand loaded Sierra match hollow point bullet in my 5,56 AUG carbine (gas pistol removed making it a straight pull bolt gun). He flew away and I never saw him again.
The next year during archery season I was walking back to my car when another car pulled up and the guy said, "Hey, I've got a story for you. Remember last year when you told me you shot a tom turkey that you hit but got up and flew away?" I said, "Yeah, I sure do."
He said,"Well later that season I shot that turkey." Unbelieving I said, "How do you know it was my turkey?" He replied, "Because when I butchered it there was a bullet hole through both sides of its breast."
Needless to say I was amazed but then remembered I shot it with a match bullet. Later that day at home I examined my .22 caliber match bullets and I saw that the hollow point was ALL copper with no lead exposed.