Premium bonds highest coupons? from sample test test, only, understand, following, therefore

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“Holding maturity and yield constant, amortizing bonds selling at a premium would have the highest coupon payments and the highest amount requiring reinvestment; therefore, they have the highest level of reinvestment risk. In the case of par value amortizing bonds, only coupons must be reinvested.”
I understand why high coupons are riskier from reinvestment perspective. But I thought that coupons are paid as stated and premium is a yeild related term…. I’m not quite following the description from CFA sample test question