Shutdown+TurnOn vs Restart - Windows 10

I'm having a strange problem with Windows 10 and remote access through a VPN (NeoRouter).

I am accessing a Win10 PC remotely. If I "restart" the PC then the PC shows up in the NeoRouter VPN as being on-line and active in the VPN but I caot ping the VPN address (10.0.0.xx) and caot coect remotely. If I have someone on-site shutdown the PC normally from within Win10 and then tu on the PC 5 seconds later the PC shows up in the VPN and I can ping it and access it directly. As part of the troubleshooting I tued off hibeation, which is supposed to disable Fast Startup - that made no difference (although some people found having it enabled caused problems).

If the behavior was the same regardless of how I rebooted (Shutdown+TuOn vs Restart) then I'd suspect the VPN settings were somehow at fault. But, because my remote access depends on the method of startup I suspect it is something in Win10.

This question Difference between shutting down and tuing on vs. restart in Windows 8? would be helpful except that it suggests I should be experiencing behavior opposite to what I see. If Shutdown+TuOn simply restores the previous settings (which the Win8 question says is true) then that should not restore my remote access but it does; and, if Restart does a complete shutdown and cold reboot then that should reset everything from scratch and reset my access but it doesn't.

One further clue - I can access the shared hard drive of the un-pingable PC from another PC (via remote access) on the same local network (coected through a router) so I know the PC is active and working on the local network even though it is not pingable through the VPN.