  We clarify how the elliptic integrable spin chain recently found by Matushko
and Zotov (MZ) relates to various other known long-range spin chains.
  The limit $q\to1$ gives the elliptic spin chain of Sechin and Zotov (SZ),
whose trigonometric case is due to Fukui and Kawakami. At finite size, only the
latter is U(1)-symmetric.
  We compare the resulting (vertex-type) landscape of the MZ chain with the
(face-type) landscape containing the Heisenberg XXX and Haldane--Shastry (HS)
chains, as well as the Inozemtsev chain and its recent q-deformation. We find
that the two landscapes only share a single point: the rational HS chain. Using
wrapping we show that the SZ chain is the anti-periodic version of the
Inozemtsev chain in a precise sense, and expand both chains around their
nearest-neighbour limits to facilitate their interpretations as long-range
deformations.
