The thing about saxophones isn't volume.
It's a special quality in the sound; I don't know if "timbre" is the word for it.

From my university days in the practice rooms in the music building,
I have a vivid memory of the sound of a saxophone,
being played softly --
and that sound cut through the walls of
whatever the practice rooms were built of,
like the proverbial hot knife through butter.
Without even being loud.