I don’t think the description is accurate. Also don’t know if this is actually from the scene. But assuming it is, I don’t hear anything resembling a rocket (rockets have a distinctive sound). It’s possible that a 2-inch rocket was used and they’re on the quieter side. A hellfire is quite loud. If a bomb was used, the blast would be much larger.
The double-tap you refer to is from performing bomb-damage assessment (BDA) after the initial strike. If the person doing the targeting thinks a second strike is needed then you get the second strike. It’s not deliberately engineered to take out rescuers, but certainly is done in disregard of rescuer safety.
My statements should not be construed as support for the strike.
ETA: edited for typo