It will be the usual, preference biased explanation for everyone. If someone decided for the AOS4/AONE then AOS4/AONE will be more Amiga, and the same is true for the opposite.
In my eyes neither the AmigaONE nor the Pegasos is an Amiga anymore. So much for remaining objective. :-)
On the subjective point, I consider the Pegasos being a turbocard for the Amiga, without the need for the classic Amiga itself. Yes, it was a long way, and call it evolution if you want: this fate was evident from the start. The ties connecting the Pegasos to the "root" are the engineers who created it, and the programmers behind it who made software for the turbocards.
On the AmigaONE side though, the ties are the Name and the Company which owns the name. The hardware have little to do with the roots apart from the sticker. Never the less, both solution is almost the same, that's the source of ppl trying to find and exaggerate the differences so desperately.
My Pegasos is not an Amiga, but I use it as an Amiga, and the transition was smooth enough for me to believe that.
It's just an opinion though. There are thousand others :-)