By design, Hyper-V and Connected Standby/Instant-Go are not compatible and Connected Standby is not supported when the Hyper-V role is active.

There is, however, an issue when Hyper-V is active or when a registry key is used to set Connected Standby to disabled.

The issue: The Surface Pro 3 will show “Limited Connectivity” and will not have network connectivity either immediately after waking or within a few minutes of waking.

This is an issue with the Hyper-V Manager and not the WiFi driver and needs to be addressed

by the Microsoft Hyper-V team who is now aware of the issue and hopefully working towards a fix.

There is a work around http://answers.microsoft.com/en-us/surface/wiki/surfpro3-surfnetwork/work-around-for-surface-pro-3-issue-where/bd7c8bde-439b-45d6-8d9d-2776913e45e9 that afflicted users can use who do not need Hyper-V active at all times.