A diety has several names. Ashtottara shatanamavali, Sahasranama etc.,
Do the order of names in such collection has any importance?
Yes.
In Vishnu Sahasranama of Bhishma, the categorization and order of names denotes 5 'places/murtis/avatara' of Bhagavan - Vaikunta, Ksheerabdi, Vibhava, Archa, Antaryami.
Source - Parasar Bhattar Vyakhyanam
Personal opinion : It matters when it is part of a namavali, or a garland of names, or when it is part of a mantra. But for other times, it does not matter, just as a mother doesn't care if a child calls it amma, or mummy, or ma.