Bro you just ignore arguments, also both of our arguments is that something is or isn't Left in a political sense. You don't support your claims with arguments either, probably because we are both right depending on who we ask.
The most important takeaway however is that BSW is undeniably a hardcore authoritarian party and mostly a east Germany phenomenon.
If its left or right will be seen next election, depending on where they take seat in the Bundestag, since they are a break away from the Left party, they will probably sit left from the view of the podium. The core problem we are at, is that nither left or right in common use are sufficiently defined to make a perfect point her.
If we'd take the Horseshoe theory again, BSW would be so far down left that its just "center" extremism but radical center is just not what they actually are.
Another takeaway is that they are absolutely a threat to democracy, just as the AFD is, and that they both suck putin dong.