I doubt you'll get legitimate user feedback here on any of the three rifles you're considering. While I have seen Falkor and Nemo rifles under glass, I've never read of them being mentioned on this site. I'm certain JP makes a rifle capable of meeting your precision requirements, I don't know how reliable it would be.

If I had $4,500 to spend on a rifle, I'd drive across the city to speak with the folks at GA Precision. Their GAP-10 G2 ought to meet the very basic requirements stated so far in this thread.