I've never owned a car with over 200hp, so I may not be right to say this. But I prefer the FT86 over any turbo'd car mainly because I can push my car to the limits on the street without breaking any laws. For example, I can take it to the redline and not be going over the speed limit on most roads. Sure, the limits of the BRZ are lower than the WRX, but taking a car to its limits is really what makes driving the most fun in my opinion.
Another reason I chose the BRZ is because I'm not ready for anything over 200hp. I just started autocross, and I think it is best for a newb like me to start out with a low-class vehicle. However, I would argue that the FT86 is at the top of its class.
Furthermore, someday when I'm ready for more power I'll add a turbo or supercharger (and any necessary complimentary mods) and give my car a tune
Now here's a reservation. The BRZ is a tiny car. Not as tiny as the S2K or Miata, but you are going to have a bad time if you want to take a road trip with more than 1 passenger in a FT86. In fact, it would be nearly impossible. This is definitely not as practical as a hatchback like the WRX, but if this tiny coupe fits your lifestyle, then go for it