David, it is clear to me that your experience (lack of hands-on with 12" DC's notwithstanding), and knowledge of Tannoy drivers far exceeds my own.
I have been extremely surprised by how well my SET is able to drive my HPD's, but, as Charles is known to state, much depends on the transformers in the given SET.
Actually, the surrounds on the HPD's were of "Tanoplas", a foam material that would disintegrate after 10-15 years, and have to be replaced. After replacing the cones with the hard edge conversion, and subsequent long run-in of surrounds and spiders, both the bass and midrange were noticeably improved. These surrounds are the same as in the current Prestige line of Tannoy speakers.
With the SET driving the Tannoys, I find myself closer to experiencing live music, or a greater emotioal connection to it, if you will, than I have had with any other amplifier I have used with them. The rated sensitivity of these HPD's is 93-94 db's, which puts them within the useful range of many SET amps.
I have no way of knowing if the modifications made on my drivers had any effect on their ability to be driven by low-power SET's, I just know I get more enjoyment from music listening when the SET is in use, than when it is not.
Gentlemen, best regards,
Dan