Dear George,
I think the word "purpose" is being used in at least 3 senses: 1) a somewhat vague subjective goal or intention which is held in conscious awareness; 2) an ostensibly-objective evaluation of the place/ usefulness/ necessity of organisms/ organs/ molecules in an ecosystem or part-ecosystem; and 3) a hypothetically-existing higher-level external-to-the-universe master-plan that somehow guides outcomes in the universe, in addition to laws-of-nature. I think that there is no evidence of 3).
Re "Purpose in the sense of function is necessary for all physiological systems":
I wouldn't say that purpose (in the above 3 senses) is the same as function. The then meaning of the word "function" ("power of acting in a specific proper way") was appropriated by Leibniz in 1673 to refer to mathematical functions, seemingly because the function ("power of acting in a specific proper way") of a mathematical model is completely determined by its mathematical function.
Nothing has changed: despite the visual appearance of some complex system models, no new function evolves out of a deterministic modelled system because the mathematical function completely defines the function ("power of acting in a specific proper way") of the modelled system. By analogy with models, for new function to emerge in the universe, the equivalent of new mathematical functions/rules have to be added to the complex universe-system.
Human beings can add new rules to a model system, but the actual universe is not a model. Seemingly by definition, there is nothing external to the universe. That is why I contend that the universe must generate its own rules.