No performance difference provided you use a plug that has the same reach, nose tip, and heat range as oem.
I think it's some kind of internet myth that keeps propagating. What I've read/heard mostly is that a copper plug will prevent preignition better versus a platinum or iridium, because on paper copper conducts heat better than platinum or anything else. Or it might be because on paper copper conducts electricity better than the other metals. The conclusion is it'll then give you better performance, and of course, more power, more fuel economy, etc.
People are easily misled because they don't know what materials are where in a spark plug.
The core of the plug including platinum and iridium is copper. The center electrode, on traditional plugs which are referred to as copper plugs, is not copper. It's a nickel alloy, and probably contains copper but will contain other metals as well. The ground strap, which is what you always check to make sure is light tan and clean, is nickel steel alloy. How much insulator is around the center electode of the spark plug which regulates it's heat range, and allows heat to flow from the center of the plug into the block, and has nothing to do with copper or the center electrode material. If anything, the smaller center electrodes of iridium will be able to run cooler because there's less material surface area. So there's no truthful performance benefit regarding heat transfer or electrical conductance, it's #@$%!. Simply select the proper heat range spark plug, along with the correct reach and nose tip.
the only performance benefit I'm aware of comes in when you make the center electrode as thin and as sharp as possible. That reduces the voltage required for a spark to jump the gap, which results in more reliable high rpm performance. Key word is reliable, but will of course be marketed as more power, greater fuel economy, cause the driver to get more chicks, etc.
The tradeoff is the thinner/smaller the center electrode the easier and quicker it will erode, and when it erodes the gap opens and can cause a big performance drop. Platinum has greater erosion resistance than the traditional copper (alloy) and lasts longer. I don't think the center electode sizes differ anything significant from traditional (copper) to platinum, they are 2mm I think, so the only performance benefit is after 100k miles the traditional plug will have eroded enough to have a higher chance of misfiring due to increased gap or rounded center electrode compared to a platinum plug. Iridum is more erosion resistant than both and is able to be thinner and not erode. NGK has 0.7mm and denso has 0.4mm iridium center electodes, but their ground straps are still nickel steel.
Now what can happen, which I'm sure has and then these people get myths started, is they cross reference their oem plug to bosch, autolite, whoever, and the heat range is not the same or the reach of the plug is different or the projected tip of the plug is different. Then the engine runs different and they bash the plug as being junk rather than themselves for not knowing what they're doing.
some good sources of spark plug info:
http://en.wikipedia.org/wiki/Spark_plug
http://ngkaz.home.att.net/wsb/html/view.cgi-home.html-.html
http://www.madehow.com/Volume-1/Spark-Plug.html
http://www.sparkplugs.com/sparkplug411.asp