The Flowers of the Forest is the more traditional lament for a funeral. As in Eric Bogle's No Man's Land.

But Amazing Grace is great on the pipes, and hits the spot.

Funerals aren't about entertainment and giving people a bit of variety. That's especially so in the kind of context of the FDNY funerals, where solidarity with the other fallen is obviously important, and having the same tune on the pipes must help emphasise that, and could be a source of strength and comfort to those involved.

I'm sure the pipers wish there weren't so many funerals too.