Question about shiny hunting in Union Circle

[west beacon]

You would be able to see version exclusives from both games as long as you are near eachother but you are sometimes unable to see eachother in area zero and you are able to make a sandwich together so you both get the boost from it

[twin prism]

So in theory we could go to the same area and both of us shiny hunt for roaring moon? If I see a shiny would it also be shiny for them meaning we’d have to fight over it? 😂