This is a non-answer, but non-civil war buffs (like me) wouldn’t know a “southern cross” it bit us on the heiney. Funny, my opinion is that it’s bad when people rotate the cross, turn it upside-down, set it on fire, etc.
It’s almost like when bad guys wear black, robbers wear masks, KKK wear hoods, fascists wear swastikas, etc. I count those who worship the “Confederate flag” among the same group of nasties. To be shunned, unless perhaps purely used for re-enactment.