Hello can someone please confirm my understanding of the setup I use is correct?

I'm about to do lottery solomining using USB Block Erupter.

My setup is following:

1. Laptop, running Bitcoin Core full node
2. separate RPi, running BFGMINER mining thru Bitcoin Core on the laptop and also operating as stratum proxy.
(the coinbase address I want to get potential reward is given by --generate-to option)

now two of my friends want to do lottery mining as well so I thought they can use my node. That's the reason I enabled stratum proxy with --stratum-port in bfgminer. (on RPi)

Is my understanding right they can now use their own BFGMINER connect to my stratum and if they use their own --generate-to address their reward goes to them automatically?
I'm quite confused as I was trying to simulate I'm one of my friends - started another instance of BFGMINER on a remote PC and connected to my startum. It works well but even if I don't specify
any address with --generate-to. If that machine would find a block where the reward goes?


thanks for clarification