I sold Klipsch through my college years in the late '70s. The only model I ever owned were LaScalas. But I sold a ton of their complete line, from Heresy's to many, many Klipschhorns. I could only have wished for an amp like the Signature 16 back in those days! As close as we could get back then was an Audio Research D76 and SP-3a-1, at considerably more money in today's dollars. I
'm pretty confident, that having owned the Sig 16 with high-efficiency single drivers, that Sig 16 would be a fantastic amp for the Cornwalls. I say this based on multiple factors...
1. Dead quiet
2. Plenty of power without being overkill
3. Ability to roll tubes to tailor sound to taste
4. Great tone, detail and imaging
5. And maybe most important (based on the Cornwall speakers I experienced in the late '70s), the Sig 16 has killer bass. At least from what I know of the Cornwalls of old, tight and tuneful bass was a necessity for optimal sound -- Sig 16 with LFP battery power has very tight and musical bass, not easy to find in tube designs -- especially at this price point.
Good luck with your decision. Kent