Two things done inside supervision do show up in client outcomes.

Every counsellor, psychotherapist and supervisor I know is required to have supervision. Most of us pay for it ourselves.
Here is something that surprised me when I first read it properly, and still does.
There is very little evidence that supervision improves client outcomes.
Watkins reviewed thirty years of research in 2011 and found the link thin. Not absent exactly, but nothing like what you would expect of something a whole profession mandates.
It would be easier not to say that. I supervise. I am paid to.
But I think most experienced practitioners already know it in some form. You have probably sat in supervision that met the requirement and changed nothing.
What the evidence does support is narrower, and more useful. Two things done inside supervision do show up in client outcomes: collecting structured feedback from clients, and working properly with countertransference.
It is the second one I want to say something about.
Not every model uses that second word, so to be plain about what I mean. Countertransference is the effect the client has on the practitioner, and in supervision of supervision, the effect a supervisee has on their supervisor. Attraction, or a prurient interest you would rather not have. Shock, disgust, horror. Fear, or feeling intimidated. Fascination that tips into preoccupation. Envy. Boredom. A sense of superiority, or of being the only one who could possibly help. And some of it is provoked less by what the client brings than by what they are: fame, or infamy, or extreme wealth. Everybody has a reaction to those, including the people most certain that they do not.
None of that is evidence of a defect in you. It is information about the work. It is only dangerous when there is nowhere to take it.
We tend to treat countertransference as a reaction we have and then manage. Notice it, bracket it, set it aside.
I have come to hold it differently. What our clients carry is largely procedural. It was laid down before language and it does not arrive as a story. It arrives in the room, in our bodies, before either person has words for it.
So the feeling that shows up in me while I am sitting with someone is not noise to be filtered out. It is often the first and only channel the material has.
Which makes this less a matter of management and more a matter of capacity. Three, specifically.
Whether I can register a bodily signal early enough for it to be useful, rather than finding it afterwards in my notes.
Whether I can feel and name what arrived without either discharging it into the room or sealing it off.
And whether I can tolerate what it touches. Because what client material most often finds in us is shame. A practitioner whose sense of worth depends on the session going well will act to relieve that shame rather than stay with what it is telling them.
None of that is a technique you can be taught in an afternoon. It is built, slowly, and mostly through being on the receiving end of it.
Which is, I think, the strongest argument for supervision that the evidence will actually carry. Not oversight. Not a box. Somewhere your own capacity to receive a client gets built.
Reference: Watkins, C E (2011). Does psychotherapy supervision contribute to patient outcomes? Considering 30 years of research. The Clinical Supervisor 30 (2) 235-256.
I’ve written a short self-supervision worksheet on this. Five steps to work through after a session, and a straight answer about the limit of doing it alone: https://drtonyweston.com/worksheets/
More on how I work with this, including supervision of supervision: https://drtonyweston.com/for-counsellors-and-trainees/clinical-supervision/