I wouldn't be able to work with a T who had that kind of policy. My T does charge for missed appointments if you don't cancel 24 hours in advance, which I think is reasonable. She also doesn't charge if you cancel because you're sick. But my T is also really busy and goes out of town to train other T's or to get more advanced training herself, so the same time every week thing wouldn't work.

My music teacher's policy is like that of the T in question. You pay for the lessons in advance and if you miss one you forfeit your fee with no make up lessons. If she cancels a lesson (rare) she does make it up. For some reason that seems fair to me, in a music teacher, but not in a T. Will have to think about why that is.

splitimage