When Ralph and others talk about "optimizing" the amp for UL or triode mode, one thing they’re talking about is maintaining appropriate levels of feedback for each topology (assuming the amp uses global negative feedback). Switching from triode to UL increases the gain of the output stage. Switching the other way, from UL to triode mode, will decrease the gain. This affects the level of negative feedback the input stage will see. Let’s say an amp is optimized for UL mode. If you switch to triode mode without changing anything else in the circuit, you *decrease* the amount of feedback. I think this is often why people hear an "improvement" when switching to triode mode. You’ve reduced the amount of feedback, resulting in a sense of "clarity." The problem is, you’ve also reduced the output impedance of the amp and thus reduced the amount of control the amp will exert on the speaker. So the other comment you get is that bass sounds "looser."
Conversely, then, if an amp is optimized for triode mode, switching to UL mode will *increase* the feedback, and this may detrementally affect the stability of the amp as well as the sound.
Some "switchable" amps will include a circuit that changes the feedback network for each mode, thus "optimizing" the feedback circuit either way. Whether the Cary amp does this or not is a question for Cary.
But more to the OPs point, I have built amps both ways and have always preferred UL arrangements, sonically speaking.
For those who want to understand a bit more about these different topologies, there is an excellent article geared for the layman here:
https://oestex.com/tubes/ul.html
And if you want to better understand the issues of "optimizing" an amplifier for various modes of operation, there’s a slightly more technical but superb overview offered by Dave Gillespie over at Audiokarma:
https://audiokarma.org/forums/index.php?threads/regilding-the-gilded-lily-heaths-w-2m.767851/
Even if you stop after the short history of feedback amplifiers Dave provides, you’ll have a better grasp on how your own tube amplifiers work!
The "Gilded Lily" Dave refers to is actually the amplifier I build for myself, using a modern copy of the original Peerless output transformer. This is where, for all intents and purpose, the "ultralinear" configuration is in every way preferable to triode operation--to my ears, anyway. ;-)