It seems that we now have a society that suffers from this condition, does it not? People abbreviate titles, work jargon, terms that apply to their avocations, etc. Soooo....What about writing a humorous essay about this phobia? Perhaps you could launch your essay with a quote about brevity, employing it satirically. For instance, "Brevity is the soul of wit" can become "Brevity is the soul of the witless." Then, you can demonstrate how making acronyms and abbreviated words is a guise for those who lack vocabulary, as outside the workplace where such acronyms are in use, they are unable to understand well-composed sentences. Or, it may be a way of preventing stuttering as there are only one or two-syllable words spoken.
Such a long, ridiculous-looking word just cannot be taken seriously, can it?
Hippopotomonstrosesquippedaliophobia is a fear-based disorder marked by anxiety sparked by long words or loquaciousness. It basically means "fear of big/long words." Ironic, right? It is more commonly referred to as "sesquippedaliaphobia."