pogo

Most of the elements are negatively correlated with duration of a bond. So higher coupon rate lower duration or interest rate risk. Now also keep in mind that we are only talking about interest rate risk here or duration here though tere are other types of risk like credit risk; downgrade risk, default risk, creadit spread risk and many more which are reflected in yields of bonds.

Here what it says that if you have higher yield volatility for a GIVEN DURATION it will be more risky. Now keep in mind that Duration itself is an APPROXIMATION which is also related with CONVEXITY measures and its same as +ve or -ve convexity has affects on our duration measures. (GIVEN DURATION is the keyword here)

I still didn't really understand your point quite much it's better if you can be a bit more precise. Though I hope you still understood some