308p has wider horizontal dispersion, which increases the apparent size of the stereo image how you perceive it in front of you, and increases spaciousness in the listening space. 708p is more narrow and might present a slightly cleaner image (imaging vs. spaciousness and image size are a function of (horizontal) early reflections).
the 708p woofer is a low distortion high excursion design (for its age) which usually indicates an effortless, 'natural' reproduction, and the 2nd order harmonic distortion inherent to compression driver construction as seen with the 708p tweeter is usually held to be inaudible ad it is masked by the fundamental. This will contribute to a more refined sound of the 708p at higher playback levels.
The 308p features a port at the back that must be cleared by a couple of centimeters. If the speaker back is not to be positioned flush with the front wall, the advantage is that the lower-than-708p spurious frequencies of port resonance around 1 kHz will mostly be eliminated. The 708p showcases a considerably ancient approach to port design, that has been discussed in depth in this and the two 708i threads and was also chosen with the competitor Meyer Sound. However, even though the port resonance reaches the level of the fundamental at 500 Hz, it was not perceived as audible due to psychoacoustic masking effects.
The 708p is a high SPL design that enables sound engineers and mixers to produce for high SPL applications like cinemas. However, you might find yourself listening at SPL levels of only 65 dB, and distortion levels of the 308p might be well below your hearing's threshold. I always recommend to check at which levels you actually listen to music, and how dynamic it is. otherwise, you might dump a lot of money due to an over engineering approach which you will not benefit from.
If you consider a sound system for a block party, maybe get yourself a used PA.