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I sent my Early-2014 MacBook Air to Square Trade for repair in December after spending an hour on the phone with one of their Tech Support guys. I kept the machine disconnected from a power supply for 3 days while I waited from the shipment box from Square Trade to arrive. On Day 3, I tried booting the disconnected machine and it magically turned on! Still, I shipped it and my power supply, thinking the repair crew might be able to figure out why I’d been unable boot it for several weeks. It was eventually returned to me with a report saying nothing was wrong! About a month later (last Friday), I was unable to boot the machine again. It had been plugged into a UPC battery backup for a couple of weeks. I made an appointment with a local Apple Authorized Repair outfit (the 2 nearest Apple Stores were booked up for several weeks), then unplugged the machine and let it sit over the weekend. On Monday, before leaving for my appointment, I tried booting the machine and again it worked! I told the repair outfit all this when I brought the machine in and am now waiting to hear from them.
