A useful distinction
A short technical label can leave readers unsure whether a publisher may be paid. Plain language can explain that a qualifying purchase through a link may result in commission, when that is the actual arrangement. The description must match the facts and programme requirements.
Put it into practice
Draft a sentence for a fictional relationship and check it against the stated conditions. Avoid unsupported promises about price, privacy or eligibility. Keep the sentence readable alongside the recommendation, and obtain suitable guidance for actual compliance questions rather than copying the example automatically.