In that case, you should see pretty much the same content. The only reason I could think they would be different is if you are the first one to subscribe to that community on your instance, then not all the posts will show up. You home instance only starts caching a community when someone subscribes to it and you may have been the first. Other than that, I have seen reports of people saying that the posts aren’t the same, but usually it’s a few missing here and there. Same with comments.