The assertion is too absolute: a remedy can cause a distant response through a reflex or another intervening physiological change without first being absorbed into the blood. It is substantially right for the direct action of a circulating drug on a distant target, but does not describe every remote effect of treatment.
Three mechanisms should be distinguished:
The distinction is between transport of the medicinal substance and transmission of its consequences. A reflex transmits activity in neurons; a locally acting intestinal agent changes a physical condition; a circulating drug delivers molecules to its distant target. The same remedy may combine these routes, and an apparently rapid effect does not by itself settle which route caused it.
A useful experimental design would therefore compare remote responses with measurements of the agent in blood, and would test the proposed neural pathway separately. In an appropriate physiological preparation, recording the response while interrupting a relevant afferent pathway can test whether that pathway is necessary; preserving the circulation while interrupting nerve conduction distinguishes neural transmission from vascular transport. Conversely, a remote effect after vascular transfer supports a circulating agent, provided contamination and other transferred mediators are controlled. Failure to detect a drug is only as strong as the analytical detection limit.
Absorption is one route to remote action, not a universal prerequisite for every distant physiological consequence. The historical language “animal economy” means the functioning organism; it should not conceal the distinction between a direct pharmacological effect and a secondary physiological response.
Health Canada regulatory product information, “Action and clinical pharmacology”, p. 9: local osmotic mechanism and minimal absorption of polyethylene glycol 3350.