I am always dumbfounded of how the sax fills the room with this amazingly warm and low "buzz" if you will.
I assume you are talking bari sax as this can hit about 65 Hz?
I can confirm that Tower of Power Soul Vaccination Live is a good recording that will sound real (just like you are there)
Doc Krupa on bari sax. If it does not sound live then you need to investigate.