The process of browsing the site doesn't really compare to playing Live. In the former you may get a little slower performance, a page might take longer to load. Live is real-time and the type of connections are more prone to interruption. Unlike something like video which can buffer content, or web browsing where the data can be resent with little impact, if you start dropping connections to the Live process, it will be more noticeable (unless the client thinks it is connected when it isn't, which happens sometimes).
The way the site is designed, the clients never directly communicate. All traffic is sent from the client to the server process. The server then forwards the appropriate content to the other player (moves made, chat, time updates for the clocks). So, your connection details are not exposed to your opponent and they can't find them out unless maybe you click on a link they share to content they control.
While nothing is impossible, the likelihood is that something between you and the Live server was the cause. It could have a been an issue with the Live process itself, with chess.com's datacenter/network, with your system or network, or any of the many connections the traffic has to traverse to get between both.
Is someone else experiencing to lose internet connection while playing live game at chess.com ?
I only lose connection while playing and never else, like browsing the web and so on.
It looks like someone has some hacker tools to cut down the opponents internet connection so that he will lose the game.
So what happened after I reconnected (disable/enable network adapter) ?
I of course lost the game. The message said I abandoned the game.
Anyone?