I actually just posted this same request on Trello (sorry I should have looked here first). There needs to be a way to run and debug an instance of the game from different editors. I did not catch the console issue (only one of the two 'output' windows work), but what I did notice is that if you make changes to the scene or other resources in one editor, the other editor(s) will not auto-reload those changes when they are focused (so that they stay in sync) -- only scripts behave properly.
This ability was extremely useful in our previous engine and I don't think we could have made a multiplayer game without it. It's actually been a request (~150 votes) for Unity for the last 7 years and it's still not fixed as they only allow 1 editor to edit a project at a time.