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From a marketing prospective, it is always nice to keep the entire name yet that is not always necessary when dealing online. As you already understand, the shorter the domain, the easier for users to type and frequent.
From an seo standpoint, that will determine if you should be using the entire name throughout the site or the shorter version. If the name is keyword rich, and you will be trying to rank for them all, I would say use the entire name.
KG