Hi, Tim.
For your information, my Surface Pro 4 consumes from 0.5 percent to 2.5 percent per hour
of total battery capacity. That's about 630 to 3150 joules per hour or 0.175 to 0.875 Watts while shut down. The average is about 1 percent or 1260 joules per hour or 0.35 Watts. In other words, my experience is that my Surface Pro 4 drains the battery
at about half the rate you report on average when shutdown.
Several possibilities could be contributing to the drain you observe. One is that Microsoft designed Windows, starting with Windows 8, to do housekeeping while the computer is shutdown and while hibernating and while sleeping. As far as I know, there is
no way around that.
I hope someone will tell me I'm wrong, but I don't think there is a way to disable this housekeeping. In other words, your ability to troubleshoot this problem is hopeless.
The housekeeping while the computer is inactive is a great feature for most users most of the time. That includes me
most of the time. And it is necessary to keep Windows in the market of instant-on always-connected devices that are the future.
But it is unfair of Microsoft to implement these features without providing and documenting an option to disable them. Aside from making it difficult for you to troubleshoot possible battery problems, there are more than a few people (like me) who sometimes
need to use a Windows computer powered by a battery that has not been charged for a few days and cannot be easily recharged. I don't know whether Microsoft is cutting us loose or doesn't think we exist.
I'll keep following this thread in case some user more clever than me figures out a way to make Windows 10 do what all pre-Windows-8 PCs used to do. Namely, turn off.