Is it common practice for therapist that you see in public practice (hospital, mental health community centre, ...) to not agree to see patient in their private practice after public treatment is done?

That happened to me twice and I found it very difficult, espacially after I was done of DBT. DBT is done by a team, and I couldn't see any of the about 10 therapists, after I was done. That reduces the choice of therapists available in my region, but also therapist which I can "connect" with and trust.