Windows 10, I have an active connection to another laptop on a direct ethernet cable and shows unidentified network

Question

I have a laptop running windows 10  The laptop has wifi and ethernet port.

I am told this question is not appropriate for consumers and should be asked 
in the enterprise forum.

The wifi connects to the internet, it is 192.168.1.101 and the default route is 192.168.1.1 
and defines as "Work" in the active section of "Network and Sharing Center"

The ethernet port connects directly to another laptop with private ip 10.10.10.3 
to 10.10.10.4 and defines as "unidentified network" - public network in the active
section of "Network and Sharing Center"

When I turn off the wifi with a switch on the side of the computer, I can connect to the
directly connected laptop over ethernet

When the wifi is on, and I unplug the ethernet cable, internet connections work, when I plug
in the cable, the internet connection quits working.

This is a traveling rig for testing and development while I'm on the road.  In the previous
setup I would use the ethernet direct connection while using a dialup modem, and be able to
transfer files between systems.

With better Internet I'm now able to connect to the main system and transfer files from the
local development system to the main system via this windows computer if both connections
could be maintained at the same time.

(in previous versions I used Windows NT 4.0 and Windows 2000, and would not have had these problems)

Added note one of the people supporting me has been able to make this work with a windows 7 laptop
using an article on superuser.com  
"https://superuser.com/questions/1757586/how-to-force-private-network-in-an-unidentified-network-on-windows-10"

Is there a way to change "unidentified network" - public network to "Work" for the direct
ethernet connection?

Thank you

Answer 1

You could;

--please don't forget to upvote and Accept as answer if the reply is helpful--

Answer 2

Another way is

Get-NetConnectionProfile

then do

Set-NetConnectionProfile -InterfaceAlias "some alias" -NetworkCategory Private

--please don't forget to upvote and Accept as answer if the reply is helpful--