Sorry for the delay.
This is for my 06' gx470, same 4.7l engine as you guys. I did this modification for two reasons 1) sound 2) experimentation.
I did not expect or plan on on major hp gains or mpg increase. I mostly wanted a little more v8 growl and I wanted to experiment with doing things that didn't cost me much and that I could easily reverse and put back to stock form.
I started with cutting a hole in the air box in the front, then on the side near the firewall where the cold air comes in, and then a small hole in the back near the firewall. I did not cut it open near the engine. Yes, I am aware that I am sucking in warmer air but I also remember the days of me having an open air element in my mr2. I forgot to take intake temp readings before this mod but I did after. For the most part, when cruising around my intake temp reading is very close to what the what the ambient air temp is according to my dash board thermometer for outside temp. I am using an obdII scanner with an iPhone app to measure air intake temps. If the ambient air was let's say 85 degrees, I have seen my air intake at highway speed be the same number or sometimes a little higher like around 88-90ish. Now, at a stop light, I have seen it go up much higher, but I believe that is normal operation.
Then I did the rear exhaust resonator delete and then the AFE drop in filter. With these mods, I got a little more growl during heavier throttle and very little sound difference with cruising around. It was a nice, tasteful difference. Then I wanted to experiment with a modification that is similar to the AFE CAI or the TRD CAI in which those tubes are replaced. So, I made my own for around $50.
I got a 3.5" tube on eBay for $22
90 Degree Aluminum Turbo Intercooler Pipe Piping Tubing 89mm 3 5" Length 600mm | eBay
then 2 3.5" 90 degree elbow couplers for $22
3 5" 4 Ply 90°ELBOW Turbo Intercooler Intake Silicone Coupler Hose T Clamp Black | eBay
then this vacuum sensor adapter kit from advanced auto for $8:
Spectre Vacuum Sensor Adapter Kit 8711: Advance Auto Parts
I noticed a sound difference with this mod too, just another tad tweak from what I already did. Overall, unless it's placebo effect, which I acknowledge it could be, I like the sound, and I think the truck is running very well. I had no problems before, it was always smooth but now if feels like it goes down the road a little easier with less throttle. I am mostly easy on the throttle anyway so I'm not trying to increase my 1/4 mile times.
I'll read through the articles more about the function of the resonator boxes but I am happy with this mod for $50 for what I designed it to do. I could not justify this type of mod for $200 or more.
I hope that helps give a little more background. And, I just ordered the magnaflow 12586 22" muffler for my final modification.