TIR 3 user here.
Here's the thing. If you aren't planning on doing the Vector thing with the TIR, then the "limited range" of the TIR3 isn't a problem, because all it reads is your head rotating in place. In other words, your head isn't moving all over the place, so you don't need the range.
If you're planning on doing the Vector upgrade, I bet the wider angle of the TIR4 would be a good thing.
The TIR3 is more than fast enough, speedwise.
-Llama