I recommend you contact Ducas to tell him about your concerns directly. I do not know him personally as I first heard about this from his public Twitter account: https://twitter.com/DucasLeo
Just to make sure you get Ducas's main argument, I quote him here again: "Personal study (unfortunately, never written down cleanly) of this approach suggested me that this approach requires solving SVP in dimensions beyond reasonable, leading to a factorization algorithm much slower than the state of the art. My impression is that this is the consensus among experts having spent some time on it as well."
So it seems like the conclusion is clear-cut contrary to what you were suggesting.
Also wouldn't the name "Schnorr attack" lead to people thinking of attacks on Schnorr signatures instead?
Apparently, "[t]his suggest that the approach may be sensible, but that not all short vectors give rise to factoring relations, and that obtaining a sufficient success rate requires much larger lattice dimension than claimed in [Sch21]."
Just to make sure you get Ducas's main argument, I quote him here again: "Personal study (unfortunately, never written down cleanly) of this approach suggested me that this approach requires solving SVP in dimensions beyond reasonable, leading to a factorization algorithm much slower than the state of the art. My impression is that this is the consensus among experts having spent some time on it as well."
So it seems like the conclusion is clear-cut contrary to what you were suggesting.
Also wouldn't the name "Schnorr attack" lead to people thinking of attacks on Schnorr signatures instead?