So, for me it is about noise.
We need to face facts that without a remap you are never really going to notice any extra power gains at the levels both the HPS and Takeda claim. They both claim about the same gains but they are minimal.
The HPS definitely makes a deeper rumble over stock and also gives a much more linear acceleration pull but remember I also have the intake flap mod so mine is permanently open. Don't believe what others tell you, you still get the two stage noise with the flap mod but you just get it earlier.
The Takeda just screams more at higher revs and that is better for me. Gives the same linear acceleration as the HPS just more noise into the bargain so it gets my vote for now.
I'm building my own intake system which will require a map so my Takeda will be up for grabs later this year too.
We need @Twellsie to pitch in on this. He is the induction engineer so knows his stuff.
My view is that, other than the RR racing tuned intake and the one I'm building myself, all of the induction kits are visual and noise improvements only so If that's what you are after you can take your pick.
If you are after power gains, get your wallet out and go big or go home. The bigger the filter the better the noise and avaliable gains. At full tilt all of this heat soaking nonsense is largely irrelevant.