I'm sure some do, but I don't in principle. Like a lot of social relationships, the relationship between yourself and a therapist has to be evaluated on a case by case basis, and the only person who is responsible for that evaluation is the one on the receiving end - only you can tell whether your mental health carers are dominating you, and really it's up to you to do something about it if they are.
Of course that's problematic for a number of reasons, first being that all mental unwellness is in some shape or another a state of diminished free will (or perceived free will), and often diminished agency. If your free will (or perceived free will) and agency are diminished then you're not in the best position to interrogate or change your relationships with those who are trying to 'restore' you to a state of wellness.
Second is that sometimes professional carers have institutional authority over you. They have the power to name your problems and forever label you with them, what drugs are acceptable (or even mandatory) and how you take them, and most terrifyingly whether you're allowed to live outside of the 'asylum'. I'm treated by a doctor who has all these powers over me, and it scares the bejesus out of me, even though I trust that he has my best interests in mind and won't deliberately use them to abuse me. The problem is that it's very hard to communicate any mental experiences with anyone with any precision, but diagnosis and treatment hinge on being able to precisely communicate your subjective experience of being mentally unwell to this person who can force you to take drugs that could fuck you up even further, with the backing of the state.
Third is that if you have access to modern mental health care then you live in a society that's structured around the division of labour, specialisation and experts. Many of us are used to not challenging specialist or expert authority (the authority of the boot maker, in Bakunin's terms) in our personal lives; sure we're comfortable wheeling out our own opinions when an academic economist is on TV or writes an op-ed, but (just as an example) in the five years I was at university I saw students directly confront and contradict a teacher's opinion maybe two or three times, and that's including the one memorable time I did. In the societies we live in we are assigned worth (not exclusively of course, and men more than women generally) by how expert we are in a specialised field of work, and anything DIY is seen as inherently inferior to its professional counterpart. We're socialised into not interrogating the power dynamics in our relationships with professionals, and resigning our agency to them instead, which is an obstacle to becoming responsible for your mental wellness.
Fourth is that that the boundaries between free will, rationality, being unwell and irrationality are all blurred and fluid, but the modernist approach to diagnosis and treatment that psychiatry (and mental health care more generally) takes wants everything to be quantifiable, objective, and carries with it all kinds of norms about wellness and illness that are external to the individual and their living experience; so if you and your therapist disagree on what constitutes 'recovery' for you, you've got a problem that you need to take into your own hands (and carefully navigate so that they have as little institutional authority over you and your recovery as possible). Cognitive behavioural therapy is a good example of this - practitioners tend to focus on cultivating a consciously rational mindset as a way to treat mental illness, attempting to use logical internal reasoning to address irrational behaviour, but not everyone finds this kind of therapy useful or the shape of its intended outcome desirable.
These are some of the reasons why I think the most important aspect of recovery is empowerment, both in the sense that the role of the carer in my opinion is to empower you, and that you need to empower yourself. You need to be the one that defines 'wellness' for you, and if you're an anarchist who isn't always mentally well (like me), then you need to develop and cultivate strong insight into your own condition, so that you're able to recognise when your agency/free will/etc is diminished and know what to do about it. Therapy becomes an anarchist issue when there's some kind of authority or domination involved in your relationship with your therapist, which is unfortunately the norm, but there are ways to fight back without shooting yourself in the foot. The best way I've found to avoid domination and authority in this kind of relationship is to be my own therapist as much as I can be.
That's all I got for now, I might come back and expand on a few things.