Of course 4chan will still be around. By 2200 the dominant species on Earth will be cockroaches- where else would they go for lulz and CP?
Hell, they'd be better at it than we are. While we're dicking around invading virtual hotels, they've been doing the real thing for centuries. All it would take is one strategically placed roach at any luxury hotel to shut down a hell of a lot more than just the pool. Our methods are grossly inefficient.