@casecadesphil, As you may well know as a loudspeakers impedance drops so respectively does it's sensitivity. The 400 Watts into 2 Ohms previously suggested is similar to 100 Watts into 8 Ohms. 100 Watts is the minimum Thiel recommended for the CS 2.4's. But that's at an amps standard 8 Ohm rating with the assumption that the amp is of such quality that it can double down with impedance to compensate for the actual impedance load. Amps are typically rated from 8 Ohms/ 4 Ohms / 2 Ohms and in some cases 16 Ohms, so that's what we have to work with. So with that in mind the as used minimum recommendation would be 400 Watts into 2 Ohms. If an amp can't double down from the minimum 100 Watts into 8 Ohms recommendation then the speaker is losing potential useable power. Many amps can not keep up with the power to sensitivity ratio -3dB for each halving of impedance. In which case one would need to start with more power. In the case of these Thiels at least the impedance is fairly consistent, so the loss of frequency linearity doesn't suffer that much.
Being "stable" into a given load only means that the amp won't go into oscillation when presented with such a load. It is not a measure or power delivery, distortion or the quality of sound when presented with such a load.