There is no internet sharing/hotspot happening. The Pi needs to be able to see the internet in order to access various API services. The pi then takes specific information from those services and sends it out to devices on the closed network using OSC messages. The closed network never sees the internet. I talk more about the specifics of use case in the comments here: Return IP from multiple NICs
I think I'm on the right track with what I need at this point. Thanks, and I'm sorry for being confusing!