As earlier promised, my initial thoughts:
Installation and setup.
Thursday evening I installed a balanced 136 set of Circle K strings on a six-string. (I chose the 136 set because it most closely matched the gauges I was replacing.)
As expected, I needed to raise the saddles a bit under the E and B strings to accommodate the taper.
The neck initially showed a bit more relief on the B side than I like, but was acceptable on the C side. I decided to wait until it settled in before making any adjustments. By the next day, the neck had straightened enough that no adjustment was necessary.
Intonation adjustments were minimal except for the B, which was quite a bit thicker than the previous one.
Over all, much less tweaking than I'd anticipated. WOOT!
Sound.
In my den, through a G-K head and fEarful 12/6, low volume, no other instruments: Pleasantly guitar-like in the upper frets of the D, G and C string, but lacked "oomph" in the "typical" bass register. They seemed top/mid heavy. Reminded me a lot of DR Sunbeams, which don't work well with that bass.
The next night in a gig setting (with vocals, drums and amplified acoustic guitar), the strings sounded much better than at home/alone. I can't really judge them based on that night alone because I was fighting horrid sound from the room, stage monitors, and FOH.

I did, however, notice that there wasn't the usual huge tone change when I moved between strings/registers. I found myself gradually working through different registers rather than making sudden jumps. I credit that to the balanced tension.
I was fighting the room so much that I didn't pay much attention to how the strings felt. I'll wait until after I've used them in a more comfortable setting before posting any comments/judgements.