In the hayday of New York City’s crime rate (the 70s and 80s), Bellevue Hospital EMS was considered the very best of trauma units. So I believe your theory holds water.
In Houston it is Ben Taub Hospital.
“Kenneth Maddox, a trauma surgeon named Best Doctor in America five times, is the head of the trauma department. With 586 licensed beds, it is one of the busiest trauma centers in the United States, caring for over 106,000 emergency patients during its last fiscal year (March 1, 2010 to February 28, 2011)”