One thing that usually gets overlooked in threads like this is the wire used for the coil windings in the speaker.
It's probably been 6 or 7 years since I read it, but a long time ago someone posted a bunch of information explaining that a 16ohm speaker and 8ohm speaker weren't identical... which should be obvious considering the impedances measure different. The gist of it (I'm not an expert, but maybe someone else can chime in) is that speaker manufacturers sometimes have to use different wire gauges to get the different impedances whist getting the coil to fit in the same chassis. This creates small variances in between the two speaker types.
The dude went into way more technical detail, but my mind is too fried to remember all that shit.
However... as an example Eminence actually gives details of their 8 and 16ohm speakers separately. I pulled up the .PDF on their Wizard speaker, and right off the top it lists a different resonance for each one (89Hz/8ohm vs 100Hz/16ohm), usable frequency range (70Hz-5.5kHz vs 70Hz-6kHz) and sensitivity (103dB vs 103.5dB).
Further, if you compare the chart on each speaker you can see that the response isn't identical and by the looks of it the 16ohm version will be a brighter speaker.
Anyway, here's the link to the .PDFs...
http://eminence.com/pdf/wizard.pdf
http://eminence.com/pdf/wizard-16.pdf