Ours should be the changeover type but currently isn't this is one of the things that I was advised it would do, but doesn't. From what I've picked up the Inverters are Grid Tied, which means they need to see 240V from the grid to operate, once that goes they shut down. Some have EMPS (I think) which means they have a circuit onto which you can add a couple of sockets that in the event of a power cut will keep working, to plug an extension lead in, not so good if it's in the loft or halfway up a wall outside, although they could be hard wired elsewhere.
However the other option is a physical switch either manual or automatic that if the grid drops, it isolates the grid & the PV & battery keep providing power to the house, although at a 3kWh Max, so you would likely to have to go around switching a few things off. You also need another dedicated Earth as you cannot use the Grid earth at this point for safety reasons, if a digger cut the cable in half up the street you may have no Earth so no protection in the house. Otherwise if you do not isolate the grid your battery is going to be sucked dry by all your neighbours, you are also putting out 240V into the network which is a safety hazard for anyone working on the cables, they would not expect power to be coming in that direction.
I have come across
https://www.ebay.co.uk/itm/403459960930 which I think might be a solution, any circuits on the unit would stay live, but I'm not 100% sure it will be an option if ever my installer actually gets back to me, I called around there yesterday the whole place was shut up, I rang today to get an answering machine, I did get to Whatsapp one of the installers who said they were all out on site & the secretary wasn't in this week, which as it's half term sounds plausible, which could also be why I haven't been getting any response to emails.
Okay Caveat time, I'm confident what I have put above is correct, but it may not be, so do your own research