Yes, one of the Ts I recently met with has this policy too. I understand it's income for her, but like you, I find it unreasonable.. particularly given how much disaster strikes my family lately. I know it ensures people don't mess around and deliberately avoid sessions, but I'm not like that, so perhaps that's why I view it as odd and unfair?!
It's a shame because I think she could be really good if it wasn't for this policy and a couple of other odd ones!
Have you crossed that T off your list because of this? I hope you manage to find someone suitable!