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I do! Right in the middle of one lol.
Definitely an unpopular opinion, take me upvote. I’m someone who doesn’t enjoy talking to strangers or being bothered in public spaces. If I’m somewhere alone, chances are I either want to be alone, or I’m doing something I need to do and am just trying to get it done and leave. We’re certainly not ALL perpetually lonely. Many people enjoy alone time, and you’ve listed several different places that are popular for people to go / do by themselves for that reason. 
That being said, your idea of having a designated space for people who DO want to socialize is an interesting idea. Like-minded people could convene in that area with the expectation of socializing with strangers, and those who don’t want to could go about their time unbothered. A win-win situation, if you will. >

Let me guess. You live in a city?