The point is, AMD have some native quad-core CPUs that either can't run with all four cores at their specced TDP or have a physical flaw in one of the cores. As AMD prefers to make money rather than throw it out (well, one presumes ;P), they sell them as tri-core CPUs. Why? Just the fact that they have one extra core gives them a marketing advantage over dual cores, similar to (maybe even more prominent than) clock speed.
Why not cut them down to dual cores, to match the rest of the market, you ask? Well, if they've got lower clocks and lower per-clock performance, why would they want to make it a "fair"fight? Plus, it'd be boring.
Emphasizing power draw also fails to highlight AMD's current strengths (such as they are, at least in terms of desktop usage benchmarks).
As to your usage scenario, I don't see how the "more cores means more power" argument fails a tri-core vs. a dual-core. Not all ppl use their CPU to run one multi-threaded app at a time. If they're running more than one at a time, more cores won't hurt. Like Geo said,
give three cores a chance, man.
Why not make it four cores? Um, see the first paragraph--these are quad-cores that are likely defective in some way, so selling them as quads isn't an option. Dropping them to duals for power savings doesn't seem to be in the cards for now, for whatever reason (e.g., AMD thinks it can get more traction from three cores than lower-power dual-core, or maybe the power savings don't justify the performance drop).
I guess I'm not seeing why you think marketing a defective quad-core as another ho-hum dual-core is preferable to marketing it as a rather unique (in the desktop space) tri-core.
We were all freaked out when G70-GTX showed up with 24 rather than 32 fragment pipes, and maybe as much when G70-GT offered us 20, but I think we recovered nicely.