Lipogram

My question after reading The History of the Lipogram is, what does it mean to write one? What does it mean to omit a certain word or words for an entire work of art? When an author writes in a familiar form, such as the Shakespearean sonnet, the audience can usually infer certain meanings about the work. The structure of the writing means something. I am interested to discuss what can be inferred about lipograms. I did find it interesting to discover how controversial and stigmatized lipograms were throughout literary history. It seems the establishment found fault in the work and it would be an interesting research topic to uncover why this particular form induced such vitriol.