When people refer to Brisk nowadays, they mean the branch of The Brisker Rov aka Moron HaGRI”Z Haleivi.
I don’t know who the Ashkenaz Rov of Sterling Forest is. However, if he eats Machine Shmura Matza it doesn’t matter how many yea5he learned in Brisk, he’s not a Brisker. A Brisker does things the way The Brisker Rov and his children and grandchildren did and continue to do. It’s not just a derech halimud, it’s a way of life.