In the NTRU Prime submission, principle author, the well-known DJB is adamant that
[the] primary objective [of NTRU Prime] is to eliminate unnecessary complications in security review
So much so, to the extent that the idea of pure cyclotomic ring, module, decryption errors, etc. are exterminated from the design.
I think this is good, as NTRU Prime serve as a model alternative to the other designs from the finalists. I'm convinced by various arguments he made in the presentation at the 3rd PQC standardization conference.
But what about digital signatures?
What if any of DJB's choices made in eliminating unnecessary sec-review complications applies to, or is justified for digital signatures?
Or from the other side of the perspective: are there design decisions made in Dilithium or Falcon that can be justifiably deemed problematic according to DJB's methodologies?
Is it possible and meritful to adapt some of the NTRU Prime design decisions and strategies to either of the lattice signatures from the finalists?