Order theory - in Hodges' model?

Continuing to try and see Hodges' model as a mathematical object (yes, I clearly don't know), I'm revising the past (N) summer's draft. Rather embarrassingly, shared with a couple of people. 

Many years ago I posted about binary classifiers, that is for human learning - not just machine. There was a post about a child's toy. I thought that Hodges' model was like a Sober toy; a flat one.

The basis of triage, is order. Fail in this you are not doing triage. This drives the categories of 'reason for referral', 'main problem'. It is not long until that main problem becomes: 'Patient's problem', 'Initially assessed'.

nLab suggests at least that order is deserving of attention:

• 1. Idea

Order theory, the study of orders, is one of the main branches of mathematics, but it often gets short shrift.