In my side by side comparisons using a fully serrated and a plain edge knife to do all the things I typically do with a knife, I haven't found anything where the SE dominates the PE. So I would consider that there are even serrations on the blade to be a disadvantage.
Another thing that particularly sticks out to me is most CE blades have serrations near the ricasso, which is the ideal spot to use when whittling and carving wood. In most cases for this task PE excels over SE.
I'll use CE and SE blades but I haven't found any reason to pick them over PE blade, except for one reason that does not apply to me. A dulled SE blade cuts much better than a dulled PE blade, but the point is moot if you keep your blades sharp as most members here do.
However, if your uses match the capabilities of serrations better than mine, do not look solely at blade length when buying your CE blade. For example, compare a Boker Trance CE to a Spyderco Military in CE. They differ in blade length by about an inch, but the total serration area on each knife is roughly the same, with the Millie having maybe 1/8 inch to 1/4 inch more serrated cutting edge. Not as big of a difference as the total blade length would suggest.