I feel like the Microsoft responses are not forthright here.
My experience with my own Surface Pro 4 is that there is a significant drop in power if not using and charging computer every day, eg while travelling,.when in "Shutdown mode".
So when one actually needs the computer, caught out because a quarter or more of the battery has discharged. If this is not a problem, why are there so many people inquiring after this issue.
Clearly "Shutdown" is NOT shutdown in the traditional sense.
There should be an option within the shutdown menu to complete a full shutdown.
An alternative solution is as follows:
Press Windows key & R key. Then type "shutdown /s" in the box and press enter.
Appears to be effective. Takes significantly longer to start up, but power seems to have been retained..
Tried many times in the past but it doesn't solve the issue in my Pro 4