I was writing those comments based on what i know from your post. so unless i palpate and see the functional movement of your body, t here is no way of knowing what causes what.
By the way how did people come to a conclusion of glute medius are both work and glute max and medius are weak? If muscles need exercise, when u do exercise and u will get to the point that your physioan tells you that your glute max and medius are not weak any more. I got a picture of your situation by reading this "have been working to correct this and strengthning my glutes."

I am based on my belief(assumption) that most of people who say "Weak" does not understand what it means.
Muscle can get "Weak" by having dysfunction in it, or under develop muscle(disuse)
so Weak = Strengthning formula will not work 100% time. Muscle can get "Weak" by misfiring too. so Weak has lots of meanings.
If doing exercise is not getting you what you want, then u need to do other things. Doing the same thing over and over and expect to see a change is called "Insane"

If we want to properly diagnose muscles, we need to do functional movement assessment, and ROM and palpations. Most of peopleh do not have palpation skills and misdiagnoses a lot. using orthopedic exams are nice but problems are that they are made for orthopedic conditions for orthopedic doctor.
Nervous System typically take the path of least resistance too. Again i dont know if your glute max and medius are dysfunctional so i based on that if glute max and medius are dysfunctional, NS will use other muscles such as hamstrings(depends on movements though)



If your hamstrings tightness are caused by overuse of them because your body can not use glute as primary mover, then treating glut wiles(stretch or anything that can cause a change in fascia), then you will use less hamstrings and more glute. Quads work together with hamstrings. if they are dysfunction, you will use more hamsrings and get tired upon squat movement. And if your quads are dysfunctional and you want to do squat, then you will use more hamstrings
Learning structure by itself does not give us a whole picture of what causes what. I learn those concepts from Collective Exercise Specialist program offered by National Academy of Sports Medicine, gray cook book, and TPI seminar. I once subscribe "Integrative Diagnosis" method online. its money back guaranttee. Lots of Pts and Dcs, MTs are studying those mentioned concepts as well as taking Active Release Techniques seminars (good name value)