[ Video & Online Games ] Open Question : Once I’ve connected Fire Emblem: Awakening to the internet, will the free DLC characters always be there waiting until I unlock them?

I recently connected Fire Emblem: Awakening to the internet to download the free DLC characters that are available. I know a bunch of them won’t be accessible to me until I beat certain areas of the game but will they unlock once I do even if my 3DS isn’t connected to the internet?