No, but if they're browsing the forum, and then it all stops because the connection fails they may report it as 'getting logged out'!
But they don't ......the forum just logs them out due to cookie issues, nothing else. Nothing to do with not finding the server.

I have a company ping the server from 15 countries every 3 minutes, and no downtime this week, an the Win2Win forum is busy at that time of night, and no problems reported, all on my server.