  We give Ramsey expansions of classes of generalised metric spaces where
distances come from a linearly ordered commutative monoid. This complements
results of Conant about the extension property for partial automorphisms and
extends an earlier result of the first and the last author giving the Ramsey
property of convexly ordered $S$-metric spaces. Unlike Conant's approach, our
analysis does not require the monoid to be semi-archimedean.
