Why do so many fail to recognize that Hebrew is 'eberite?

Answer 1

The term "ʿEberite" is an unused English synonym of "Hebrew." No one says "ʿEberite" in English. If you're going to split hairs, you should just use the Hebrew word:

The Hebrew word for Hebrew/ʿEberite is:

• Ivrí (עברי) = masculine adjective or noun
  
• Ivrít (עברית) = feminine adjective (or a noun referring to the language)
  
• Ivriyá (עבריה) feminine noun referring to an ancient Hebrew woman
  

Note: the word עברי begins with the letter Ayin, which is no longer pronounced by most Jews. If you want to pronounce it, it's a voiced pharyngeal fricative similar to the Arabic letter ع. In English, this sound is sometimes represented with an inverted apostrophe (‘) or a c-shaped inverted apostrophe (ʿ) or (c). The IPA symbol is [ʕ]. Modern Arabic dialects often use the number 3 to indicate an Ayn.

It has a sound similar to a gulp.