Hi, there,
It appears that for new installs, a separate inverter is indeed required, as per a local installer TreeHouse in Austin. Here is a direct quote from them per an email inquiry that I sent them recently:
Yes, Powerwall V2 is $5,500! This is the cost of the battery only and does not include installation, monitoring, or back-up equipment.
The Powerwall 2 comes in an AC-coupled and DC-coupled option:
The AC-coupled option is designed to be installed with pre-existing solar arrays. This is the only option that includes an inverter. This is because the inverter is to only provide for the battery's needs and not for those of the solar array.
The DC-coupled option is designed to be installed with new solar arrays using a separate "hybrid inverter" that serves as the inverter for both your battery and the solar array. This hybrid inverter is what is included in your quote as "StorEdge Inverter". The size of the proposed solar array, 12.06kW, would require a second, small inverter as the StorEdge Inverter does not have the capacity to accommodate the entire needs of a 12.06kW system. This inverter is included in your quote as SE3800.