The Internet is very solicited at this moment (COVID-19) and I am pretty sure that a lots of Teamviewer Connection are possible only thru LAN.
But actualy the LAN usage need to remember and write IP Adress and password and for me (and perhaps other users) it's easer to connect via Internet and this is not very could (for your traffic, environment, security ...)
So please ad an option to connect computer thru LAN as simple as "Computers and contacts"
I have similar concerns with security..
Would be nice to be able to make sure that TV is connecting via vpn on the LAN rather than the public network..
Please enable connections made via LAN to a specified IP address to be saved to contacts, so that they are easy to find.
Currently it is a real "pain in the neck". :-(
There is an old feature request with 70kudos here: