Social policies of a trotskyist USSR?

I remember someone on a past thread saying that a Trotskyist USSR would do a lot of awkward or "Weird" social engineering. What does he mean, what would you expect from such a USSR policy Trotsky lead?
 
One idea I remembered was to have an 'open' USSR re homosexuality, as OTL USSR did legalize homosexuality. I was thinking that would stay 'open' and the pre-existing gay cultures in Central Asia will be more 'open' about their gayness and that may corrupt or scare those in Iran and Afghanistan. Wonder how things would go with Russian homosexuals being involved with Turkic homos. ie. spreading ideas to other gay subcultures in USSR - like how in USA black and white LGBTers spread parts of their specific cultures in 1970s-now (i.e. 'paris is burning')
 
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