Yes, for speakers wired in series all the speakers must pass the same current, so assuming that they are all the same impedance then they will all dissipate the same amount of power.
The reason parallel wired speakers have better damping requires a slightly more complicated explanation. Essentially for a speaker to be optimally damped it would like to see a dead short between its terminals (as this would allow the back EMF generated by the speaker and which opposes its direction of motion to have the greatest effect); so the lower the impedance a speaker "sees" the better the damping.
For a single speaker the impedance seen between its terminals is the output impedance of the amplifier, which for valve amps, even with negative feedback applied, is relatively high.
For two speakers wired in series, each speaker "sees" the other speaker impedance in series with the output impedance of the amplifier which is greater than the output impedance of the amplifier alone, and thus speaker damping is reduced.
For two speakers in parallel, each speaker "sees" the output impedance of the amplifier in parallel with the other speaker. Thus each speaker will see a lower impedance than if wired in series and thus damping will be better. Obviously this effect will be enhanced further by wiring more speakers in parallel, and this arrangement is often employed in bass guitar cabs. An SVT 8X10 cab has 8 speakers in parallel!
As mentioned above valve amps have quite high output impedances cf a solid state amp which might have an output impedance of less than 0.1 ohms before application of any negative feedback. Negative feedback is employed in most guitar amps and this has the effect of reducing output impedance. Negative feedback definitely helps to tighten up the bass response.
It is interesting to note that AC30s which employ no negative feedback around the power stage also have there speakers wired in series and this can account for the sometimes flappy bass of these amps, especially when coupled with humbucker loaded guitars.
Hope that this is helpful.