A 'name' reflect it's origins (different or the same).
Use of the name reflects 'acceptance' &/or 'rejection'.
It definitely reflects a change.
People sometimes change their name; they have changed who they are.
"Islam isn't Abrahamic, it worships another god, Allah. YHWH is a very different god."
"God said to Moses: I AM WHO AM. He said: Thus shalt thou say to the children of Israel: HE WHO IS, hath sent me to you."
'AM' & 'IS' are terms that transcend time; there is NO CHANGE: GOD IS.
Retrospectively, God began to reveal Jesus (the 'Seed') in GEN 3:15 & Jesus reveals the Holy Spirit (Paraclete) in JOHN 14:16, 14:26, 15:26 & 16:7 (drbo.org)
"Islam.. is an Abrahamic, monotheistic religion teaching that there is only one God (Allah), and that Muhammad is a messenger of God.."
Judaism & Christianity do worship ONE GOD; but as described above, there are differences reflected in the naming.
During the 8th century BCE, the worship of Yahweh in Israel was in competition with many other cults, described by the Yahwist faction collectively as Baals.
Catholics can easily avoid all the confusion by following the teachings of Jesus Christ Our Lord who taught us to address God this way:
"Thus therefore shall you pray: Our Father who art in heaven, hallowed be thy name."
'And when you are praying, speak not much, as the heathens'
"And when you are praying, speak not much, as the heathens. For they think that in their much speaking they may be heard."
Change does not mean EVERYTHING changes:
"Many things remain consistent even as changes happen."
- you've heard the idiom:
"the more things change, the more they stay the same"
Pray in peace & CONTEMPLATE 👉each word and phrase👈 that which you pray..
"Our Father who art in heaven, hallowed be thy name."