With my last T, we scheduled on different times and days on a week-by-week basis initially, for a couple months. Then a more regular timeline came up in a discussion and he offered me a weekly standing appointment. My first T gave me a stable time slot from start. I was personally fine with any of this but I would not tolerate messy moving appointments around as I do like to plan my schedule ahead of time and plan activities. I don't think I would care much about occasional vacations not being announced long in advance as therapy, for me, wasn't a necessity, I could just do different things that week. But as susannah, calling a vacation or time off "self care break" would annoy me, sounds unnecessarily boastful. I don't call my vacations self care breaks even though they are usually exactly that. Also would not work with a T who required anything more than 24-hour cancellations, especially while being unreliable with her own ability to set appointments. That's hypocritical.

I would find a teary (or crying) disturbing, especially if it happened early on. I don't tear up talking with people in my professional life and would expect a T to have more self-control. I know this varies between clients and some like it, find it compassionate etc.

But, if all that stuff you describe came in one package, I would definitely move on as it would simply not be compatible with my preferences and style.