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I had a think about doing this previously with just a bog standard UPS like this
https://www.amazon.co.uk/APC-Back-UPS-BV1000I-MS-Uninterruptible-Universal/dp/B07Q9KPHLX?th=1But then I thought what would the point be? If I didn't have any power then none of the linked stuff would be working anyway. No point keeping Hue hub going for instance because the lights all need power, most of the stuff that use the internet wouldn't have power either so why bother keep internet going?
During a recent cutout (first one in a year - a HV fault which took about 3 hours to resolve and affected 200+ properties) 4G did work out here. It would be for street-wide power losses but maybe I'm overthinking it.