The detail in the core is very nice and whatever sharpening that you've done really works for it. Some of the dusty (black) regions appear 3D compared to the nebulosity behind it.
No ringing artefacts
Your previous algorithm appeared to handle the stars better in general, whether it is that algorithm or another one that does that I am unsure. The brighter ones appear more bloated, some of the magenta ones (moreso towards the north west) have halos and there are some smaller stars throughout the image that appear to have been saturated but have no lightness to them (more like small red splotches).
I don't think the above were in the original. Your new algorithm works an absolute treat with some of the artefacts that the previous one created, not sure if the new one is creating some other problems if whether it is something new entirely.
The detail around the central region in your image is far better than what I've achieved in mine! (just did a comparison)