Battery isn't relevant to plugged-in devices, and in the end, electricity costs roughly the same to generate and deliver to a data center as to a home. The real cost advantage that cloud has is better amortization of hardware since you can run powerful hardware at 100% 24/7 spread across multiple people. I wouldn't bet on that continuing indefinitely, consumer hardware tends to catch up to HPC-exclusive workloads eventually.
One of the costs I see at the end of a month. The other I don't.
You could have an AppleTV with 48 GB VRAM backing the local requests, but... the trend is "real computers" disappearing from homes, replaced by tablets and phones. The advantage the cloud has is Real Compute Power for the few seconds you need to process the interaction. That's not coming home any time soon.