If your are not imaging then the benefit of the EdgeHD would be largely influenced by the kind of eyepeices you use and your tolerance to off axis aberrations (field curvature and coma).
If used with well corrected eyepieces like the Panoptic 41mm, the standard SCT will give very good across the field performance (not as good as the EdgeHD, but perhaps acceptable if you are not bothered by stars that are not quite perfect at the edge).
If you use modern ultra wide types like the 31mm Nagler, and you are sensitive to off axis aberrations, then the EdgeHD will be a better choice.
As to the center of the field (for planetary observing) the EdgeHD has zero benefit and here it is all up to the fabrication quality. The quality on these scopes can vary a lot, and you might get an EdgeHD with medium quality finish and a standard SCT with near perfect optics, or you might get a dog standard SCT and an EdgeHD with very good optics. Sample by sample, Celestron scopes do vary in quality of manufacture.
Now over the last decade and a half, I have seen a huge number of posts from people that say that they only care about what is at the center of the field, and could care less about off axis performance, and there are people like me that are quite concerned with off axis performance (because once you have enjoyed it, it is hard to go back to scopes that are aberrated at the edge) so which is best I think can be greatly influenced by your tolerance to off axis aberration and the kinds of eyepieces you are planning to use with it.