I think there is more to structure level battery support that you might consider which highlights why appliances with batteries could catch on faster.

I don’t need a permit to get an ac that has it’s own battery pack. The overhead and total investment (let’s say 500 for a basic AC and 1k for one with batteries) is far far lower.

You aren’t wrong at all with your current critisism. I’m just at saying that I think the benefits to end users are sufficiently high and the barriers low enough well see wide scale adoption of in appliance batteries fairly soon l.