If what the previous therapist did for you (not responding to your need or want) has helped you inmeasurably that a good thing. You have learned to calm and sooth yourself and have added increased health. benefits.
I would not have been so lucky. I did not see it as pushing boundaries I just needed what I needed when I needed it and wanted it. I was grateful to have a therapist that was willing to meet those needs and wants as much as she could. I am sure it was tiring and maybe even exasperating for my therapist at times. With a therapist I sometimes use now I have no such needs or wants because I can soothe myself, depend on others to help, or reach out to my therapist knowing that she will respond as soon as she can.
I learned the word boundaries on this formum. It became a dirty word in my previous therapy. Sometimes it’s hard to read this forum because boundaries has become such a loaded word
and causes a lot of good people to suffer needlessly.
I like the fact that there are different ways to get the same results and always marvel at those who can progress in other ways. Traditional therapies had me checking out of life. I wish you luck with the new therapist and sorting out the boundary crossings.