If you pay for both, then they’d accept your note when I rebroadcast to them.

The only solution to keep stuff off certain relays is to have something within the note itself that is required for posting.

For example- on the moonboi relay we used a system requiring the # 🌝.

This doesn’t prevent a note from going to more relays then you want it to, but it does prevent the relay itself from displaying notes that are not relevant.

The only solution I know of to prevent content from going places you don’t want it to go is something like creatr.nostr.wine which requires the user to pay the server for it to serve the content.