Earlier quoted context omitted.
I'm not a sociologist, but my feeling is that malls are just a last resort place for young people to socialize that is unstructured and free of charge. That is: there isn't really anywhere else to go be with your friends without paying for the privilege, that isn't organized by adults (like school sports or church groups for instance). When I was growing up, we had the mall and we had parking lots, and the latter was…
A recent video called “Why The Kids Need Stranger Things”[0] made exactly this point about the nostalgia of the Netflix series and how malls were a symbol of free-range kids[1]. Circumstances have changed so much that the creators assert Stranger Things could not be set in the present day. [0]: https://youtu.be/qHl-BQXYg3s [1]: https://en.wikipedia.org/wiki/Free-range_parenting
The video comes from FEE though, so it's obviously got a political bias behind it that explains it's opposition to safe spaces. People on the more socially conservative end of the spectrum don't seem to understand safe spaces and how they are actually a rejection of authority, rather than an appeal to authority. The notion of authority used is simply more subtle.
Some marginalised groups have made a very valid claim that there is a built-in hierarchy in many social norms that constitute acceptable behaviour in mainstream society. And that they tend to be on the shittier end of the deal in that hierarchy. Therefore, rather than acquiesce to the ordinary way of doing things and just accepting the negative effects of living in a world that doesn't value them as it does others, they have decided to carve out a space where they can assert their own version of what should be culturally acceptable. And they ask that others respect their desire for such a space and not enter it without also changing their behaviour and rejecting the toxic standard practices.
It's quite simple, it's like the cultural equivalent of libertarians trying to carve out a piece of land where they can keep the government out and live in their hyper-capitalist utopias. It's inherently anti-authoritarian. Anyone who goes into a safe space is voluntarily choosing to abide by its standards, no one is forcing them to.