if you create the bitmap copy at a high res (at least 300dpi), then export it at 96, you can get a much sharper image with better detail.
This is only really true when making a bitmap from an image perspectivised by the mould tool. It's an issue here because the mould tool renders images without proper anti-aliasing (even in VHQ mode), so by making a higher-res bitmap from it and then scaling it down you are effectively anti-aliasing it manually.

There are some other cases where it can pay to do this kind of ‘super-sampling’ manually, but it's pretty rare. The most common for me is when you've got two paths on top of each other with exactly the same shape; this can make the edges look wrong when rendered using Xtreme's implementation of anti-aliasing, but the effect can be vastly reduced using super-sampling.

When you're super-sampling for web images, it's generally best to use a multiple of 96dpi such as 192 or 384 rather than 300. This lines up the pixel boundaries of the output image to the source image, which results in a slight improvement in sharpness.