I have mixed feelings there. I never felt it should be done just because of a person's position or title. For example, the lowering of the flag for the passing of a President never sat well with me. The President is a public servant, not some king or emperor.
But lowering the flag for one day for a slain hero (a Medal of Honor winner, etc.)...it's hard to argue against that.
You say po-tay-to, I say po-tah-to.
It’s not up to me. Or us.
Whatever.