The gift of healing

Nope, it isn't true. Time doesn't heal all wounds, especially wounded relationships. Together with time is the other factor called "letting go" and it is translated in forgiving yourself and the other person.
And  being healed doesn't mean that things go back to where they were before. This is impossible.
Being healed means being able to pick up the phone, listen to that still familiar voice, and feel a quiet peace within.