Difficult to "prefer" in a meaningful way an ACF if you've not looked through an Edge HD.
The problem remaining for ACF is the field curvature, and that gives increasingly enlarged (but round) images the further off-axis you go. So you have a distinctly smaller field that's diffraction limited, compared to the Edge system, though also better (wider) than the older models from C and M, which C also continues to make as a cheaper alternative.
Further up the page, there seems to be a notion that if a White Paper is used for sales, it must be a tissue of lies. Consider that it could be pretty accurate, it's even better for promoting sales. The Edge scopes have a price disadvantage. They need to do something better to justify that. They can if the quality of fabrication matches their competitors so that buyers get the benefit of the new design. From the examples I've seen that is the case. The buyer can then decide what they can afford, knowing the differences among the three (main) versions of popular SCT.