Despite the figures given on allbinos the SE series does not have a lot of pincushion, just the right amount for me. Arek (allbinos' main reviewer) prefers bins with very low distortion.
But that's not a good thing if you are sensitive to RB. Plus, to my eyes the first curved line in the 10x42 EDG does not start 88% from the center. I've tried it and if it had that low a distortion level (lower than the LXL, according to allbinos), birds would have been rollin', rollin', rollin'... and they weren't.
As Henry pointed out above, "flat field" and rectilinear distortion levels are independent of each other.
So you have a nice flat field with the SE series, but also enough pincushion to make panning smooth for most people (haven't heard too many complaints, but some people have reported seeing some mild RB with the SEs, but not nauseating projectile vomiting RB like the full sized HGLs.
Saturday, I compared a Nikon 8x40 Action porro to my 8x32 SE. The Action has more pincushion and there's a "rolling
bowl" effect from the distortion (pincushion) at the edges. I didn't see this with panning the same features (tree lines, houses) with the 8x32 SE. I do see some mild RB while panning with my 10x42 SE, but it's not distracting to me.
I also tested the "bow" with a telephone pole and straight lines in the Action started curving earlier and reached a steeper curve at the edges than the 8x32 SE. So you can have too much of a good thing with pincushion too.
Pincushion "rolls" the image over a negatively curved surface while AMD (angular magnification distortion) "rolls" the image over a positively curved surface For those sensitive to these effects, the outcome is similar, a perception of a rolling motion while they pan.
For me, bins that have AMD and pincushion balanced well so that I can pan smoothly without any distracting motion are the ones I like best. Since people have different levels of distortion in their eyes, how much distortion it takes to achieve that for them might differ from what level it does for me. YMMV.
Leica Ultravids don't have a flat field, but they are "alphas". The FLs have astigmatism at the edges. Only Swaro SV ELs and Nikon EDGs have flat fields at the alpha price point.
So the answer to your question is that presently, "No," flat fields are not synonymous with the "alpha view".
Also, RB is not a "given" to achieve a flat field view. The EDG and SE both prove this. There's a small trade off in that the the EDG and the SE aren't sharp to the very, very edges like the SV EL and the Nikon HGL, but as Henry mentioned, taken to the extreme, the SV EL and HGL compress objects at the field edge, which is not useful. Too much of a good thing again.
Brock