I noticed the OP on this thread talked about having a Sony Xperia Z1 smartphone and wanted to have it run while it charged during the night. Coincidentally, Prof. Pande posted on the blog
that Sony smartphones will now have an app in the Google Play store
that will allow folding to run while charging and at full battery, and can run from midnight to when the user wakes up. Perhaps a new subforum could be created for mobile folding here if this catches on.