First to clarify a few things, since you're talking about 16-bit, 32-bit, and 64-bit.
There's 32-bit and 64-bit OS/Applications, but that really has nothing to do with print quality, just with application compatibility. Qimage is a 32-bit application, but will run just fine on 64-bit OS. Likewise, the Canon print plug-in is 32-bit, and also works on 64-bit OS just fine (but only works with the 32-bit version of Photoshop, because 32-bit plugins can't be hosted by 64-bit applications).
Now there's also the issue of bit-depth for printing. This has to do with the color precision of the image data sent to the printer for output (has nothing to do with 32-bit or 64-bit applications).
In the Windows world, printing has always been limited to 8-bits per channel color. This actually changed a while back with the
XPS Printing Path, but most print manufacturers don't seem to be supporting this in their OS-level drivers, and most applications don't seem to support it either. Maybe with time it will catch on. I think part of it may be that this is a new printing subsystem with a new programming interface, so it's not necessarily just a matter of switching from 8-bit data to 16-bit data.
The Canon Print Plug-in supports 16-bit output, because it bypasses the windows print driver (or maybe it uses XPS, I don't know). The downside is that it only works with 32-bit versions of Photoshop, so Lightroom and QImage users are left out.
Apparently the there's a "free layout" utility from Canon that is accessible when printing with the OS driver on 32-bit OS. But it's not available on 64-bit OS for some reason, and I'm not sure if it was ever available from the Photoshop plugin.
IMHO Mike Cheney is being a bit disingenuous when he says there's no point to 16-bit printing; after all this is the guy who advocates interpolating images to 720 PPI for Epson desktop printers. The real reason Cheney doesn't support 16-bit printing is because he
can't. He's totally dependent on the OS print drivers, which means the only way he can support 16-bit would be if the printer manufacturers release 16-bit capable XPS print drivers and he updates his code to use the XPS print path.
So getting back to your question of does it matter if you print 8-bit color from QImage versus 16-bit from the plugin. In theory, sending a 16-bit image to the printer as 16-bit color is ideal. In reality many who have used the 16-bit print plugin will tell you there is some improvement for some images, but it's not a huge difference and you may not see any benefit depending on the image. My approach is to use QImage for smaller images where I think the benefit of 16-bit is less likely to show in real-world photographs. Smaller prints are also where Qimage's layout capabilities are most useful. So 12x18" and larger goes through the PS plugin, and anything smaller goes though Qimage if I need layout capabilities. ICC profiles should be compatible with both print paths as long as all the relevent settings are consistent.