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This is the  same strategy that was used after desegregation to exclude African Americans from other public facilities.
What are you even trying to say >

privatized public library... my head is full of fuck. what does that even mean? >

The public library is managed by a private for-profit company. The city pays the company to deal with everything. A good friend of mine used to work for a privately managed public library system and she said it's as shitty as you'd imagine. Employees are treated like complete garbage, creativity on the job was discouraged, etc. I'll have to ask her how the collection was impacted, as that seems to be the purpose in this story here, to rid the collection of materials that dare to treat LGBTQ people as people. >

Every person I ever met who worked for LSS was chomping at the bit to get another job. Regional managers (or some such title) just showed up at a professional meeting I attended that was a mix of library staff from city run libraries and LSS ones.  The LSS employees mostly just shut up - surprise.