Hopefully someone smarter than me will chime in and go into greater detail on this, but in my opinion, carrying loaded (open or concealed) is now legal. "Public street" is the part that most considered to be "public in general". Here is the new text...
(5) Subsections 76-10-504(1) and (2), and 76-10-505(1)(b) do not apply to a person 21 years old or older who may otherwise lawfully possess a firearm.
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76-10-505. Carrying loaded firearm in vehicle or on street.
(1) Unless otherwise authorized by law, a person may not carry a loaded firearm: (a) in or on a vehicle, unless:
(i) the vehicle is in the person's lawful possession; or
(ii) the person is carrying the loaded firearm in a vehicle with the consent of the person
lawfully in possession of the vehicle;
(b) on a public street; or
(c) in a posted prohibited area.
(2) Subsection (1)(a) does not apply to a minor under 18 years of age, since a minor under 18 years of age may not carry a loaded firearm in or on a vehicle.