Jonn, this is a great question and I am no expert and more or less same boat as you in terms of well, being on PTSD site and have similar issues.
I wont bore you with my story but answer to your question (one of the infinite answers) could be no you do not need to remember anything in order to heal. Frankly, there are memories one can get in utero and there is no way of remembering (even though some people can recall under certain circumstances) but people still heal everyday from traumas still. no easy answer.
I am just the tip of the iceberg but the healing comes from getting close to another human who can/or has the capacity to hurt you the same (or similar fashion) but they do not. This allows the person to get very close to teh fire but not get burned as happened as a child. In short, you feel the pain as you felt as a child with the therapist and you live through it by talking about it with your adult mind, and if you are truly lucky or motivated or have the capacity, you come out on the other side different person. not the same person who came out of your childhood.
There is a saying that in order to heal cPTSD or most childhood issues is to have a very safe and loving relationship so that alone shows there is no memory recovery needed. And I think a great therapist will allow you to have a relationship with them which will make you go a bit nuts first cause it is so lopsided but eventually, you get over it and find what lays ahead in your life. I am not underestimating how hard is to find a great therapist, that allows a very real intimate relationships, that brings your deep issues to the surface and just like any other great relationship, you talk about it and the talking about it is the working through. Eventually, you reach a place where you truly care for the therapist but you are like hmm thanks, I am ready to run and find my real love whether that is a person, a vocation, a creative muse or whatever is on that other side you need to get to if you are lucky.
Where in reality, most complex sufferers, their parents supposed to have that relationship and nurture and empower the child so that child could grow up strong and healthy and that did not happen. We are at the mercy of another person to give us a chance for redo!
Again, this is the ideal like unicorn. What healing looks like is as vast as what faces look like! infinite ways for everybody.
Hope this gave you some idea.