You're conflating things. GC is different (albeit necessary) from naturalization. I clearly said my citizenship took 6 months. My GC took 6 or 8 years and I got it through my wife.

For those 6 to 8 years I had a student visa then an H1B. Despite having a PhD in the top US program in my field from a top five school.

My wife got her GC through the lottery before she finished university (ie w/ a HS diploma) with 0 years living in the US