Bible commentators and academics are in the habit of describing the native language spoken by Jesus and His contemporaries as Aramaic or Syro-Chaldaic. Those who wish to show their academic credentials will do the same. This is servile copying of academia.
The New Testament repeatedly calls it Hebrew Lk 23:38, Jn 5:2, Jn 19:13,17,20, Act 21:40, Act 22:2, Act 26:14, Rev 9:11 and Rev 16:16. So why do biblical scholars and preachers not do the same?
The different names of Greek and Roman gods and goddesses draws attention to the variety of words for the same thing in different cultures. Some biblical critics in their attempt to discredit the Gospels draw attention to the different terms used for the Sea of Galilee and its surrounding cities in Roman writings, as if Roman authors have more authority than local usage, overlooking the simple fact that different people use different terms for the same thing.
Thus there is no need for biblical terminology to succumb to academic terminology, and biblical exegesis will be more accurate by using biblical terminology.
Jesus said: ‘You are deceived, not knowing the scriptures’ Mat 22:29.
Scripture is quite clear that Jesus and the Jews in His time spoke Hebrew, although academics copy each other and call it Aramaic.