No, I like for my jh13 to sound the way they sound out of my home set ups. Neither the iPhone 4 or 5 can come anywhere close to that. Which is why I purchased the godap 4.0. That brings the performance of my jh13 closer but not equal. If the iPhone 4 was as great sounding as you say it is, products like the godap, vmoda vamp, clas, fostex etc wouldn't exist. So shame on these manufacturers for producing products to bypass the internal dac when it's world class to begin with. What were they thinking. And people like myself and others who purchased the vamp and godaps should have their ears checked. This really is to the point of silliness and I'm finished posting about it.
Generally speaking there's hardware, ears, and then...marketing which in this hobby is far more important than in other realms. And when you think you're done placebo effect comes out and play. Many times it's all an illusion (or delusion;)
I've skimmed thru quite a few AES papers that explain all this in excruciating detail
But i'm done with this disagreement. I respect you view but i happen to have my own one..