“Free software. Open source. If it’s the same software, does it matter which name you use? Yes, because different words convey different ideas.”
Spiritual applications here. Words do matter. Does it matter if it’s immersion in water for forgiveness of sins or because of it? If it’s the same act, does it matter how we describe it? Yes, because the different words convey starkly different concepts.
Lord’s supper or mass? People eat bread in a religious ceremony. (In the latter, only the priest drinks the wine.) If it’s the same act of eating, does it matter which name we call it? Yes, because different words convey different ideas.
Baptist Church. Catholic Church. Church of God. Does it matter what we call it? Absolutely, for the descriptions denote totally different realities.
You take it from here …