I don't have an iPhone but my Android does not do that. Not sure if your components need better RFI suppression or you need a different phone. That said, while I did exactly that experiment in the past, I have not tried it with my new processor. For the HT world, there is so much noise inside the box, that suppression pretty much has to be in there or nobody would buy the things...
You've never heard the classic "3G buzz". Old podcasts and youtube videos are full of it.
Doesn't happen to me much anymore since I got a 4G phone, but every 3G phone I ever had did it with pretty much every piece of audio electronics it was within 6 inches of.
You can still get it occasionally in ares of poor reception when a new phone falls back to 3G.