Crysis - does 32-bit and 64-bit make a difference?

Take a look at the figures to the right. Again, ignore the minimum values; the tests ran sooooo slowly on the maximum settings, that there's just no difference between 1 and 0.8 fps - that's just dead slow! But look at the comparable settings to first system: DX9 Low at 800 x 600. Here we see that the 64 bit mode is still slower, albeit by a tiny fraction, than the 32 mode.... nearly. The High GPU test persistently gave the same sized gap with each run though, so there we have it: 64 bit faster than 32 bit, but only as a minimum value - the average and peak were essentially the same.

So what's going on here? Didn't Crytek say that "64-bit in general runs better than 32-bit. In fact I would recommend gamers run 64-bit only under very high configurations"? Okay, we've only examined two different systems but because they are so different, surely one would expect the 64 bit mode to show some improvement, beyond the isolated case of the DX9 High GPU test? Some people on our forums have reported that the demo "feels smoother" when playing in 64 bit but we couldn't verify that directly with some in-game testing.