All family members Hutstein(-er) in Saxony originated around Hartmannsdorf close to the city of Kirchberg/Zwickau. It seems that the family moved to Hartmannsdorf approximately 1630 as there are no other members found in the neighbouring parishes before.
On the other hand there has been a place/hill called ‚Hutstein‘ not far away from Hartmannsdorf close to Raschau, district of Schwarzenberg, which could have been a place to search for their origin, but we found the very first of the Hutsteiner, Michael Hutsteiner, in Hofkirchen i.M. in Upper Austria before moving to Saxony in 1626.
There had been some hints that the family could be related directly to the Hessian Huthsteiner families as there had been some other links in Hartmannsdorf to Hessian aristocrats from Burguffeln (close to the city of Kassel) who settled in Saxony in the 18th century. But it is the other way round: the Hesse_Nassau Hutsteiner family members came from Saxony.
A more detailed description about hessian ties of the family are here:
The classification into Zwickau-, Dresden- or Borna-line is done a little bit arbitrarily as it is just oriented at major family living regions. In fact, as stated above, all families are out of the Zwickau-line.
The family is originally of protestant confession only, but the Dresden line obviously changed later to catholic religion due to political reasons.
In this area it was also common to use ‚th‘ in ‚Huth‘ thus several of the family members‘ names are spelled as ‚Huthstein(er)‘.
Obviously the family name became extinctic in the 1970s with one of the last members living in Hamburg.