I don't think there's any correlation, looking at me versus my friends who are also on hormones. Speed of changes probably correlates more to your T levels than anything but even there it's extremely individual.
Puberty doesn't happen at different ages due to different responses to the hormones. It's primarily because people's bodies start producing those hormones at different ages. "Late bloomers" usually don't react unusually slowly to the hormones their body produces, it's just that the body starts producing them later.