That's not true
You have to consider the circumstances in which that jay vs nas battle happened. At the moment blueprint came out, jay was that number 1 dude, with only Eminem, as his equal. People were past nas. In order for what you saying to be true , it would have to be the other way around. Nas was not the bigger artist with the further influence. Ether landed better because it was flat out a better diss. It brought nas out the dark.
The "who spit more facts" angle was some bullshyt jay z tried to run with the get some leverage for himself once ether kicked him in the face. Truth is, neither record is that factual. And what record is more factual is a dumb ass premises to base the quality of a diss record, when these entertainers entire lives are just exaggerated characterization of real life gangsters and mobsters that none of these rappers really live. That is why when jay tried to take the " more facts" route, nobody bought it. Not from the dude who exaggerated everything about himself from the jump. Not from the guy who spent the verse before dissing nas saying prodigy was a ballerina and he wasn't etc.
You could say nas didn't state facts, truth is jay didn't neither, Nas was not a faq, nas was not garbage, it was written was not "aahight" it was a classic, nas didn't get to the point where he was not mentioned at all, his career was not finished, nas had more of a street life than jay had, as told by those around them both, so nas didn't create his life by scribbling shyt in a note pad, etc.
But who cares, rap battles are not about fact and fiction. It's about who land the hay makers. Nas landed more hay makers, don't switch to "quotable" deal with hay maker, the shyt that makes the listener sag
and
nobody believed nas was done as a artist, the shock was more that jay had the heart to challenge such a great lyricist. That was what turned heads, not really what was actually being said.