No, as far as I am aware all speakers will exhibit measurable capacitance at some frequencies. Speaker impedance becomes more benign to the extent that:
1)Nominal impedance is higher.
2)The impedance varies less as a function of frequency.
3)The impedance is more purely resistive, as opposed to capacitive or inductive (especially capacitive).
4)Frequencies at which the impedance is particularly capacitive do not coincide with frequencies where impedance magnitude is low.
All of these differences will affect the degree of difficulty that the speaker load presents to the amplifier. They can also be expected to affect sensitivity to cable differences, because they will affect the amount of current flowing through the cable; and because the significance of cable resistance will vary depending on how great a fraction of speaker impedance it is (at all frequencies); and because the significance of cable inductance will vary depending on how great a fraction of speaker impedance it is (at high frequencies).
Figure 1 of this Stereophile review
shows the impedance curves of the Focal 1037be, which I suspect are generally similar to those of Bryon's 1027be.
The solid line, which is read against the scale at the left of the graph, shows impedance magnitude. As you can see, it fluctuates widely, and is much lower in the bass and lower mid-range than at higher frequencies.
The dotted line, which is read against the scale at the right, shows the "phase angle" of the impedance. A phase angle of 0 would mean that the impedance is purely resistive; positive phase angles represent an impedance that is partially inductive and partially resistive (with +90 degrees representing pure inductance); negative phase angles represent an impedance that is partially capacitive and partially resistive (with -90 degrees representing pure capacitance).
Phase angles in the area of -40 or -50 degrees or more, in combination with low impedance magnitude, are particularly a cause for concern. As John Atkinson notes in the text above the figure, that occurs with this speaker in the vicinity of 30Hz.