I don't think so, because the only reason that the Asgard killed themselves in the first place was due to the Ori threat, and the weapons platform on Antarctica was only found because of Anubis was our threat which led us to a world that had the specific repository of knowledge on it that O'Neal ended up using the second time around.
That knowledge lead to the weapons platform in Antarctica.
In which they got the information from another planet called poclarush taionaas and that's where they got the zpm in order to run the weapons platform in Antarctica.
Now, it is possible they could have randomly come across this world if Anubis wasn't the threat at the time, but the only reason why they had gotten to this address in the first place to find this specific repository of knowledge, was because of Anubis and for the fact that Daniel was once ascended in order to read that tablet that led to this specific world in the first place.
Another thing to add, when the SG-1 team came under that weapons treasure cache under Glastonbury or Stonehenge, they found that ancient treasure room that they had to fight and hologram night in order to unlock the treasure, however the book that Daniel discover's, is entirely written in Alteran, which he wouldn't have been able to read if he never ascended with in this reality, in which he wouldn't have been able to figure out on his own.