Should you hire naming as well as visual identity?
No, if the name is already said in the neighbourhood and has reviews, a domain or a sign people use. Yes, if the venue is new and the working name cannot be said on the phone or searched without mixing it up with another. Test the name out loud, in a search and on the measured sign. If it fails one of the three, the problem is the name, not the type. Extra naming is commissioned and the name that already worked is dropped. Or a handsome logo is designed for a name nobody can spell.
If the name stays, the job is visual: mark and applications. If the name cannot be used, first a short list of names that can be said and searched, and the mark after, not the other way round.