That is the beauty of image processing, every time we do it it is different! Taking the new one on its own, I wouldn't fault it, I do have your previous one to compare against though
As a whole it is a better image and the stars are not bad, just preferred the softness they once had

I do like that you have brought out the fainter stuff, I wasn't sure if that was on purpose or if it was a consequence of extra luminance (better signal to noise).
What I do like about PixInsights PixelMath is that the expression:
iif($T<0.1, sh, $T)
What this would do is any pixel on the target ($T) image that has a value less than 10% will be replaced by the sharpened (sh) image. This will allow you to increase the background without effecting the stars.
I've never actually tried it but I have tried something similar to increase the background... Just hasn't worked very well. Increases the background but doesn't graduate as it goes.