Just an insight from a website which I did a random search on ..
Take the below with a pinch of salt .. do examine and authenticate
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Jesus settled it for us as to the name of God in Hebrew and Aramaic:
Matthew 27:45 Now from the sixth hour there was darkness over all the land unto the ninth hour.
46 And about the ninth hour Jesus cried with a loud voice, saying, Eli, Eli, lama sabachthani? that is to say, My God, my God, why hast thou forsaken me?
47 Some of them that stood there, when they heard that, said, This man calleth for Elias.We see here two witnesses to the fact that the name of God is El.
Verse 46. Eli, Eli, etc. This language is not pure Hebrew, nor Syriac, but a mixture of both, called commonly Syro-Chaldaic. This was probably the language which he commonly spoke. The words are taken from Psalm 22:1. (Barnes notes)
Jesus was speaking a combined use of Aramaic and Syriac, which is the alleged foundation of the Aramaic from Chaldea where the present day Baith Catholic Church is located, in Syria and in Iraq. Jesus used the Hebrew name for God, El, and he added the possessive suffix, i. Thus, Eli, or "My God."
This also implies that Jesus never used the Aramaic name for God because it may have already been corrupted. In this book I have shown that the name of Allah derived from pagan forms staring at the Tower of Babel. This tower, and Sumer where the gods IL and ILAH evolved, were just up the road from Israel. So some primitive Allah form may have already been in use in Jesus' day. He rejected it and used the name EL or ELOHIM for the God of the Bible.
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The present Aramaic text, and probably many forms of the evolving Peshi-tta after Muhammed's day, DO use the name Allah for God in various ways. Here is the list of close ones anyway:
AaLaH
AaLaHaA
AaLaHeA
AaLaHeH
AaLaHHuON
AaLaHY
AaLaHaK
AaLaHaN
B'aALaHaA (This lets Baal into God's name. This is a polution from Babylon where the Nestorians lived.)
B'D,aALaHaA
D'aALaHaA
D'aALaHeA
D'aALaHeH
D'aALaHHuON
D'aALaHY
D'aALaHaN
D'B,aALaHaA
AaLaH (Not used of the God of the Bible in the Aramaic)
AiYL (This is a pure pagan form based on Illah of Babylon)
LaALaHaN
And, 46 more variations
You can see that the Aramaic names of God in their alleged Bible never once made any effort to use El or Elohim, as Jesus did. So, we see the post-Islamic pollution of the later era Aramaic and Peshi-tta were polluted by Muhahhed's god, Allah, whom Muhammed salvaged from the Kaaba when he evicted the other 365 pagan gods stored there before 650AD.
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Do take the above with a pinch of salt ..
Hope it helps to answer why the name "allah" was never used, and this aramic form was never preached, in our pulpit today!
God bless u guys!