> I don't find it particularly sad if people mind their own business in the gym.
But that is part of the whole loneliness issue isn't it. I can certainly understand people wanting to just do their workout, but it's one less source of interaction between people. We don't talk to be people at the supermarket, we don't talk to people waiting for the bus, we'd rather listen to a podcast during our workout, than talk to the guy sitting on the next bench.
Very anecdotally: I'm fairly introvert, but have issues not talking, so I'll fairly regularly talk to random people. Some people will clearly prefer to be left alone, but frequently people smile and light up and start talking about all sorts of random stuff.
From a guy's point of view, initiating a conversation with a random woman anywhere, not just in the gym, is fraught with peril, and probably not worth it. The difference between "flirting" and "creepy" is entirely in the mind of the recipient, and if you initiate a conversation, you really have no control over how it's interpreted. The downside can be pretty bad if it's received poorly.
I'm exceedingly grateful I'm already married and don't have to put up with this minefield anymore!