“DC power doesn’t transmit across long distances well. My solar array, inverters, and battery stack have to be somewhat close to each other. I’m sure the same is for grid battery storage.”
Agree on (battery) DC power not doing well at long distances, but grid-scale battery power ALWAYS gets inverted to 60 Hz, somewhere close, and then tied into the grid, and there are high voltage power lines running all over the country where it could tie-in. So why not invert the power near the batteries and tie-in next to a power line in the middle of Nevada, or wherever there are few people around?
But a one-time conversion from DC to AC can happen if the battery storage is in the urban area near the solar panels (again, assuming the solar is on the urban rooftops like in the link I provided). In that situation, solar power comes in as DC, stays DC to be stored in the nearby storage facility, then goes through a conversion from DC to AC only once.