The same thing could happen on either version of the site. Your local connection to the internet is only a small part of the path the traffic takes from your client to the chess.com servers. So, having a great internet connection doesn't guarantee anything.
Some things you can look at that can improve chances of not getting disconnected from the Live server process (though nothing can guarantee it):
https://support.chess.com/customer/en/portal/articles/1444918-my-internet-connection-is-fine---why-am-i-getting-disconnects-
https://www.chess.com/blog/News/how-to-adjust-your-live-chess-connection


I make a move, then I await my never ever playing opponent.
Then their time runs out. Lo!! and Behold!! I lose!!! Chess.com
message: " Sorry dude, your last move never made it to our server".
Bring back V2 until you totally smooth out V3 issues guys.