A solar heavy network would still need 12 hours of storage to accommodate nighttime energy use. More actually, because of greater seasonal fluctuations further from the equator.
All of the Americas experience night time simultaneously for at least 8 hours a day. Even if we ran HVDC lines to the Sahara, there's still a period of time where most sunlight is shining on the pacific ocean.
"The solar heavy network wouldn’t need energy storage with an HVDC network."
So no, we wouldn't need that. HVDC would be far cheaper.