This grows out of the comment exchange to my answer on Is "whoever did" correct?
Does anyone else object to the use of "elide", and its forms "elision" and "elided" ro refer to the omission of words in a phrase, sentence or test. Often we deal here with forms where technically required or once common words are omitted from a phrase or sentence. I normal use one form or another of "elide" to describe this.
I think this is supported by the free dictionary, Collins, MW and other dictionaries.
If people object to "elide" (in its various forms), then I think "omit" and "imply" (to indicate that a missing word is implied) are much better than "ellipsis",