Imagine your tuner keeps making the congestion control more aggressive, filling network links up to 99.99% to get more data through...
But then any other users of the network see super high latency and packet loss and fail because the tuner isn't aware of anything it isn't specifically measuring - and it's just been told to make this one application run as fast as possible.
If your servers communicate at high datarates with a handful of other servers, some of which are far away, but all of which have large potential throughput, you want big buffers. Big buffers allow you to have a large amount of data in flight to remote systems, which lets you maintain throughput regardless of where your servers are. You'd know to look at making buffers bigger if your throughput to far away servers is poor.
If you're providing large numbers of large downloads to public clients that are worldwide from servers in the US only, you probably want smaller buffers. Larger buffers would help with throughput to far away clients, but slow, far away clients will use a lot of buffer space and limit your concurrency. Clients that disappear mid download will tie up buffers until the connection is torn down and it's nice if that's less memory for each instance. You'd know to look at making buffers smaller if you're using more memory than you think is appropriate for network buffers... a prereq is monitoring memory use by type.
If you're serving dynamic web pages, you want your tcp buffers to be at least as big as your largest page, so that your dynamic generation never has to block for a slow client. You'd know to look at this if you see a lot of servers blocked on sending to clients, and/or if you see divergent server measured response times for things that should be consistent. This is one case where getting buffer sizes right can enable miracles; Apache pre-fork+mod_PHP can scale amazingly well or amazingly poorly; it scales well when you can use an accept filter so apache doesn't get a socket until the request is ready to be read, and PHP/apache can send the whole response to the tcp buffer without waiting, then closes the socket; letting the kernel deal with it from there. Keep-alive and TLS make this a bit harder, but the basic idea of having enough room to buffer the whole page still fits.