Did you take a look at the CLX before you made the move? If so, what made you go with the Amphitryons?
I didn't try the CLX. Aside from the comparison of the Analysis Audio house sound with that of ML, which very early on made me prefer the former (there was no CLX at the time yet, and there are a number of discussions here in this forum about that comparison), there are some additional factors that made me opt for the Analysis Audios:
1. It has none of the "plasticky"/slightly colored sound that was bothering me at times with the Logans, plus they go lower in the bass and don't have the crossover frequency in the critical 250-450 Hz region of the spectrum;
2. The impedance curve is extremely stable and benign, making the life of the upstream amplification a lot easier (as a result, the Pathos sounds a little better with the Amphitryons) which also allows a lot more flexibiliy with amplifiers, namely using low- or mid-powered tubes;
3. Because they are big (in the case of the Amphitryons, 7 ft/210 cm tall) they can really convey life-size images, and a soundstage that is "airier" vertically, allowing, for example, to have a sense of whether musicians are seated or standing up (this is especially noticeable with voices);
4. They don't need to be plugged in to the electrical grid, simplifying the whole power conditioning and power cable decisions, not to mention the non-issue of having two less devices to convert to 220 V @ 50 Hz if I decide to move back to Europe, including completely bypassing the variations between 220 and 230 V in some cases, which technically would require different transformers.
Hope this helps.