I think you’ve hit on exactly what the gay mirage thing is all about. They couldn’t find fault with us so they invented a crime.
Loving and embracing perversion means to hate the truth (and anyone who stands with it). “Love” to them means destroying the truth (God's Word is truth).
Any wonder Sodom deserved the big zot. Their attitude and arrogance was/is wholly incompatible with and contrary to life itself. Kind of like their definition of “marriage”.