Good advice here.
"Help" the die as it engages. Particularly, fine threads don't like having to drag a Tailstock along with the Die holder. (I try to set my Die to a commercial bolt, if possible ) A ME 40 will strip rather than drag the Tailstock! along
This is the advantage of a sliding Die holder, minimal load on the new thread, and the little bit of clearance helps the Die to follow the work, reducing the risk of cutting then thread off centre.
Lubrication is important, Trefolex or Rocol RTD, you are usually cutting the thread in just one pass.
Howard