No, the ability to see another's memories or share your own and the ability to heal another's mind are separate. It can make the process easier, if the wounds are caused by traumatic memories, but it is not a necessary step - especially if, as in your case, the healer is already familiar with the wounded party.

If you wish a demonstration on yourself, I can provide one - it will doubtless be an aid to understanding the process. I have a room in the residential section of the Workshop. You are welcome to come speak with me there.