A lower damping factor will, and especially in the case of the Alexia where one just has to look at the frequency response/impedance curve to see it, often correct peaks (valleys) in the frequency response. It is like a built in equalizer :-)
And .... most people don't know this, so I will not fault you, but high damping factor often results in more distortion in dynamic drivers. So no, high damping factor is not always better. Different yes, but better ... not necessarily so.
A poor damping factor will raise the designed loudspeaker system Q to beyond the point of optimum damping, and because low frequency impedance is typically modulated by the signal itself distortion will always be lowest when driven by an ideal voltage source. Noting too, if damping factor is close to "1" by definition half the power is also being dissipated in the source impedance. That's definitely not desirable.
Not surprisingly perhaps, 99.9% of high-end commercial speakers are not particularly amplifier friendly and are clearly designed to be driven from a very low impedance source (ie. ideal voltage source).