Psalm 103 says that salvation and healing are benefits of being in relation with God.
Isaiah 53:4-5 and 1 Peter 2:24 tie salvation and healing together. Matthew 8:16-17 ties it to healing in this life, not just “when we get to heaven.”
The Greek words for salvation (soteria) and saved (sozo) include healing and healed in their usage.
No, we don’t deserve salvation – or healing. But it’s part of the benefit package of being right with God through Jesus.