[somezero]

EdDSA signatures are not Schnorr signatures. A Schnorr signature is dlog proof made non interactive with fiat Shamir binded with the message, and that is equivalent/verifiable as an EdDSA signature, up to one time signing per message (as Schnorr is not deterministic)

EdDSA being deterministic, means it’s not Schnorr by definition.

The other difference of EdDSA is having a different keygen process: SHA512 then clamp the first 32 bytes (and this process breaks down all additive key derivation that’s nice to have) clamping is not the problem and you have to clear cofactors for Schnorr over that curve anyway, but it’s the hashing at the beginning that’s different and has nothing to do with cofactor clearing.

The other difference of EdDSA is not having a standardized verifier (keywords are “cofactored” and “cofactorless” verifier) and this breaks down another nice property of Schnorr signatures which is signature aggregation.

Overall the standards for EdDSA -unfortunately- still leave a lot to be desired.