I had it years ago, not for menopause. I was instructed to take ibuprofen before I went in. I had absolutely no cramping. I felt a little pinch for only a second during the insertion.
For me, it was great initially. I never had spotting or anything, and my periods gradually became lighter until they were only a few days of spotting.
After about 18 months, I developed frequent migraines for the first time in my life and constant morning sickness like nausea. I also became very muscular, which I liked, but later understood it was a problem. And developed ovarian cysts. My gynecologist at the time insisted it was unrelated and removal would not help, but I demanded to have it removed. Within a day my nausea was gone, and after several months my migraines were gone and I haven't had any more problems with cysts.
My thyroid also kicked out during this time, which again my gynecologist said was unrelated. But my new gynecologist believes that the coil threw my entire hormone system out of balance.
If you do well on the synthetic, you'll probably do well with it. It seems people either love it or hate it. And in my case, I loved it until I suppose it built up in my body, then hated it.