What Rithmic actually is
Rithmic is order routing and market data infrastructure, not a trading platform you sit in front of. It sits between a front-end — R|Trader Pro, Quantower, a broker's own software — and the exchange, and it is what a number of prop firms use to carry their accounts.
That is why it appears in this context. People rarely go looking for a "Rithmic trade copier". They discover that the funded account they just bought connects through Rithmic, and then need to know whether the thing they wanted to do still works.
It does, and the mechanics are the same as anywhere else: something has to hold a session, receive the fill as an event, and place sized orders on the other accounts.