Unsound, you are right, a lot of ESL designers do work with solid state. I am of the opinion that they have a particular challenge- break out of the niche that they are in by coming up with an ESL that actually works with transistors...
The problem is two-fold. First, the impedance decreases as frequency increases, meaning that a transistor amp will make more power, causing brightness. Bass is an issue, as there can be some pronounced impedance peaks in the impedance curve. This prevents a transistor amp from making power. This is why a 200 watt tube amp can keep up with a 600 watt transistor amp on a set of Sound Labs, as the 600 watt amp may only be able to make 75 watts in the bass, where the tube amp can be capable of nearly full power.
The second is of course that the impedance curve has nothing to do with driver or box resonance, something that is fundamental to the operation of the Voltage Paradigm. In fact ESLs prefer to see flat power response out of the amp rather than flat voltage response.
To limit these issues a lot of ESL guys keep the speaker impedance very low- 4 ohms in the bass and 0.5 ohms at 20KHz is common. You still have the 8:1 change in impedance, but many transistor amps cannot make much in the way of additional power into 0.5 ohms and at that impedance, the speaker cable itself is a huge limiting factor. Its a band-aid approach, and when you see this its an ESL manufacturer that wants to cash in on the extra market share that they see in transistors.
You may have noticed that this is an entirely different example of how a tube amp with less power can be more powerful than a transistor amp; whenever you are dealing with high impedances this can be the case. Sound Labs have a peak of over 40 ohms in the bass. The 600-watt transistor amp above driving that peak might only make 75-100 watts.