Not at all. I guess the GTR experience is how you develop the car, which in itself is a relationship.
Also, the R34 is not that much quicker than an R33 or R32, just remember they are all sports cars with the same engines.
Given the list that you have, I'd take the M3 then AMG, but if I was to get a car and spend $50k of mods for it plus a trailer then I'd take the GTR, I can still save money. 4.9 seconds 0-100kmh and 12.9 1/4 mile time out of the factory it is already not a slow car and very functional as a daily. Adding some mods would really put the car beyond what most people can fathom, and it is very easy to do that.
That said, can you think of any other car between $40k-$50k that's comparable to the R34?