I don't do star minimization but keep them at a subjectively "nice" size by manually stretching them. I don't like any of the automated methods, I always extract them while the image is still on its linear state.
This is my current procedure:
. Run BlurXterminator. Usually, I don't like/need to sharpen the stars.
. Remove them (StarNet2) before stretching the image, on a linear state.
. Stretch the stars by using the Histogram Transformation, only moving the midpoint to the left. I usually do it in small increments, trying to barely bringing into visibility fainter/"invisible" stars one step at a time. Once I can barely see all the stars, I stop stretching them.
. Screen the stars back to the stretched starless image using the CombineImages script.
That's it. If I'd like smaller stars, I undo the last Histogram Transformation and re-screen them to the starless image. If I wanted them bigger, I stretch them a little more.
Lately, I've found that if I "sharpen" the stars with BlurX, they end up looking unnatural.
This is a crop at 100% of my
last image:

And this is the same, on a more screen-friendly scale:

Hoping to see how others manage theirs!!