To be clear, my experience and research has been with the Nikon to Fuji version. There are some very good deals to be had in excellent Nikon lenses. Not all Nikon lenses are excellent, but some are.
There is no question that Fuji lenses have significant advantages--autofocus, EXIF data, small size relaticpve to capability, etc. And Fuji is a consistently solid lens designer. If I am doing serious work where I need to produce results under pressure, I reach for Fuji lenses.
But I do have fun with converted Nikon lenses and get excellent results with them.
A couple important issues. The first generation Speed Booster for Nikon to Fuji was soft and so was the first generation of Lens Turbo. The second generation Lens Turbo II and speed booster were both significant improvements.
I use the Nikon Lens Turbo II and have not had issues with softness in corners: the lenses I have used are as good in the corners as they are in FF. The cases where folks have reported soft corners in second generation boosters that I have tracked down were due to the original lens not being good in the corners and that flaw being revealed by the speed booster.
It is important to pay attention to which converter is being discussed, because there are significant differences. If Nikon to Fuji interests you, my comments matter. But for the m42, not so much. Also, the interface to some camera systems was handled differently, so beware of that, too.