Check in the history of your updates if you have the 5/24/2016 update where they state:
| Microsoft driver update for Surface Embedded Controller Firmware |
Surface Embedded Controller Firmware <br><br><ul><br><li>v103.1158.256.0 adjustments to system thermal tuning and optimizes battery utilization in connected standby and in low battery scenario.</li></ul> |
| Microsoft driver update for Surface Management Engine |
Surface Management Engine<br><br><ul><br><li>v11.0.11.1006 improves system stability resuming from sleep or hibernation and increased reliability of touch and pen capabilities.</li></ul> |
(Wow, this cut/paste thing is impressive sometimes!)
Go to Settings > Updates & Security > Advanced options > View your update history.
In my case the system seems to be up-to-date, with updates dating 5/28th, but there is no sign of the 5/24th system update! -- which opens up a whole new thread of discussions...
I'll try to get the update and keep you posted, since the hot standby issues still exist here.