Sure, two things:
(1) Cards on the table I don't pay attention to PQ signatures.
(2) I'm mostly just saying that LWE schemes and 90s NTRU are pretty closely related, more closely related than RSA and FFDH were (but less closely related than a binary Koblitz curve is to 25519).
They are, my point is that this only became obvious later. The initial NTRU preprint frames it as a scheme based on modular polynomial arithmetic, rather than anything related to lattices. At the end of section 4 they even explicitly describe it as a “ring based cryptosystem” (contrasted with “group based cryptosystems”). As you say, now we would call it a lattice-based cryptosystem (over an algebraically structured lattice).
https://www.ntru.org/f/hps96.pdf