Since you are buyers, I need to preface my post with: I am not an EE or electrician*, and additionally do not have intimate (inside or professional) knowledge of which I speak. I am merely stating what I think is correct based upon my close attentiveness to this topic. Here goes:
I have a single Outback Radian and it operates on 48v DC not the 300 plus volts that the Powerwall operates at.
That is the limitation that wk057 also has; he chose the lower voltage (~48VDC), and charges his batteries by sub-unit. That's because that's what was on the market at the time. As he has stated, therefore it is not compatible with PowerWall. There was a point at which he was trying to decide which way to go, and he made his decision (very shortly before Tesla Energy was revealed).
From an uninformed eye, PowerWall's voltage level looks like something of an evolution in household energy production and storage, for which the inverters haven't caught up yet, but that everyone seems to say will be an improvement in efficiency when they are designed for it; even wk057 said the same.
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Can the 7 kWh version function as a backup in the event of a power outage?
Yes
The real question is if the inverters, switches, installations and regulations allow backup. Monopolies get REALLY jealous when you want to compete with them even a little, and generally speaking powerful entities (utilities, government) hate it when they give up control over you (like forcing blackouts, etc., to manipulate you, e.g., Enron), so often it's easier to completely cancel utility service and go off grid, which is actually not easy at all because it costs so much more to get cloudy day backup levels, and you're almost forced to get a massive expensive system.
The goal is also yes (for backup fully integrated), but it will be a while before the monopolies and governments are put in their place and the equipment finds a marketplace to allow it. Even just backup is expensive even if it's not entirely off-grid, because you have to load calculate and sequence (serialize) use for undersized systems (and almost all advertised PowerWall installations are undersized). The position Tesla put the inverter manufacturers in is tough: design new equipment for new specs and new use cases for a new marketplace where the old utilities and governments are against allowing its installation; who the hell would make a profit in that? Of course, it's a massive growth sector, so anybody with brains, brawn and money can do a great job; perhaps they're all doing the development now. But at what cost and profitability level? Maybe not enough. And Tesla closing up all of its development information gives the appearance of a sinking fleet of companies (in the name of corporate "professionalism" --- you should see the tweets their new top staffers (sourced from the old world themselves) post!)
But mountainmen have been putting in backup (with dirty energy) for ages --- so the ability of throwing enough money at an electrician to do all this is definitely yes; the question becomes how well it will perform, its limitations, its comparative cost effectiveness with waiting 5 years to do it, etc. Someone else will have to answer that, as I do NOT have that info.
It's odd ... right now seems more like "market research" than development at the big alternative energy companies.
* I did attempt to go to school for both, but was rebuffed at the first for money (after starting attendance) and the second for race ("demographic balance").