SE cuts better, PE is more versatile
I prefer SE blades in 'specialty' blade forms like sheepsfoot and hawksbill (Rescue and Merlin).
I feel that drop point and clip point styles are more useful in PE form. The convex curve of these forms provides the user with different parts of the blade to use for different tasks. For example, when carving fuzz sticks, I use the blade near the hilt, when carving fine detail, I use the blade near the tip.
SE cuts only one way: aggressively, so it doesn't utilize the belly and point like a PE. Sheepsfoot and hawksbill blades put the serrations towards the material. This is in contrast with an SE drop point, where the serrations rise away from the material, requiring the user to flex the wrist to complete the cut.
As for CE blades, there's a fine balance. I think they can offer the best of both worlds, but only if they have enough of PE and SE portions. My current EDC is a CE Native. It has very little PE, and therefore I don't use it as a PE blade. I consider it to be an SE. The CE millie, however, appears to have enough of both edges. Even the CE progrip seems to have the best of both worlds.
Those have been my experiences with SE and PE.
Praise not the day before evening has come, a sword before it is tried, ice before it has been crossed, and beer before until it is drunk.