You have to be very specific when talking about what will stabilize. It isn't really the bullet weight, but rather the length that matters. For example, the Hornady 75gn AMax thanks to a different ogive shape and the inclusion of the polymer tip, is a great deal longer than the HPBT design of the same weight. Likewise, 70gn Barnes TSX bullets contain no lead and as a result are very long for their weight.
As far as the Hornady 75gn offerings go, the AMax is not going to stabilize in a 1:9 barrel under the best of circumstances. It's simply too long. The HPBT *might* stabilize if the velocity and density altitude are high enough. Here at 4,000 ft they do just fine. At sea level on a cool day, they might be fine with a hot load and abysmal with a more moderate load or they might just be abysmal.
The 77gn offerings from Nosler and Sierra are a little to long for the 1:9 in most cases.