A current source amplifier has a very high output impedance- usually multiples of the speaker impedance.
A voltage source amplifier has a low output impedance, usually a small fraction of the speaker impedance.
Either one can sound good, but as far as what speakers work with them has to do with the speaker manufacturer's intention- whether the speaker is designed to work with voltage source amplifiers, power source amplifiers (tubes) or current source amplifiers (usually the latter employ some sort of current feedback which increases the output impedance).
The issue is two-fold: first, the crossover frequencies may not work right as the way these amplifiers behave is very different (an example here is using horns with voltage source amplifiers often results on horns that honk, due to the crossover not working correctly with the voltage source amplifier), and then if there is a port or other means of dealing with the box resonance, that may not work right for the same reason.
This is why equipment matching between amps and speakers is an on-going conversation in high end audio. Now if the speaker is OK with SET amplifiers, it stands a good chance of also working with a current source amplifier. So in this case its worth an audition- see what you think!