"This parable was given by Christ to represent the manner in which our heavenly Father receives the erring and repenting. The father is the one sinned against; yet he, in the compassion of his soul, full of pity and forgiveness, meets the prodigal and shows his great joy that his son, whom he believed to be dead to all filial affection, has become sensible of his great sin and neglect, and has come back to his father, appreciating his love and acknowledging his claims. He knows that the son who has pursued a course of sin and now repents needs his pity and his love. This son has suffered; he has felt his need, and he comes to his father as the only one who can supply this great need. 3T 103.4"
"And he arose, and came to his father. But when he was yet a great way off, his father saw him, and had compassion, and ran, and fell on his neck, and kissed him."
This EGW passage explicitly states that the parable of the prodigal son represents God's reception of repentant sinners. It then elaborates on the father's compassion and joy, directly mirroring the events described in Luke 15:20.