I think that this is an interpretation that is pretty skewed towards your own attitudes about what it means for a T to care about her work or what priorities of anyone "should" be. Deciding to take a week per month off does not mean you don't care or can't be "bothered" with clients. Those in jobs with a lot of direct client contact and/or in the helping professions often find that taking time off is not only necessary for them to recharge, but it also helps them do their jobs better when they return, as they have more energy and patience because they have engaged in good self care. As my T always tells me whenever I carve out time away from my wife and children, "deposits are good for later withdrawals."

Of course Ts have "a duty" to clients, as do all professionals. That doesn't require them to be in the office 5 days/ week or 4 weeks per month or 10 months per year or any such thing. As someone suggested to you earlier in this thread, she may be able to add an additional session so you can continue to see her 4 times/month or closer to that. My guess is that if you stop slamming out of the room and ask for what you need, you may get it.