That's what I said though maybe in not those words.
No such thing as a "satellite amp". You almost never need to use anything but one amp to feed a system. I can ask the guy whose company did JFK airport in NYC if he daisy chained amps. Don't think so. Knowing him, if there were multiple amps there was line level balanced audio run throughout the facility to feed any additional amps wherever they were.
On the other hand, I know some malls where the individual stores or departments in a large store had their own amp and system. The amp input tapped off the mall system 70.7V wiring for music and announcements but allowed them to make their own pages for their store.
-Hal