In the case of "Someone Like You," the intro consists of a simple yet emotionally resonant melody played on the piano. It sets the mood for the song's melancholic lyrics about heartache and longing. On the other hand, "Secrets" begins with a more upbeat and energetic piano intro that leads into the song's catchy chorus.
Therefore, while both songs have piano intros, they are distinct in their musical characteristics and serve different purposes in their respective songs. It's important to note that many songs can share similar elements without directly referencing or copying each other.