If you install Catalina, the install will automatically update you to latest bootrom version, if a newer version is available.
Do you have a MBAir, or a MBPro?
The BootRom version that you listed in your opening post (MBP121.0171.B00) is for a MacBook Pro. A MacBook Air cannot update to a MacBook Pro BootRom. It's not possible to do that.