The times I went to PT for my RSI injuries they would never go beyond what the dr had RX on his note.
So either this place is a total scam -or somehow they got the dr to OK this baloney.
But I sure would not let then do anything that makes you feel uncomfortable like these exams every time - that's just crazy...
If someone had specific issues in that area of the body then maybe it would apply but - it is not even your area of complaint.
Best of luck & stand firm for what you want & need.