I understand what you're getting at, but for the most part the answer is no. BND for example has a duration of 5.73 and an average maturity of 8 years. If you find a bond with similar yield, duration and maturity...your experience will be roughly the same in BND as it would be with that particular individual bond.
The reason why is because BND's duration of 5.73 incorporates both the bonds that are about to mature, like you alluded to, but also other bonds that have much higher durations and longer maturities. So if rates rise, yes you'll get the advantage of reinvesting those soon-to-mature bonds at a higher yield, but you'll also have those longer maturity bonds with higher durations that will offset those soon-to-mature bonds.
However, the etf or mutual fund gives you the added value of diversification into many different bonds, which reduces your credit risk (chance of default).