Facebook - how much can a person banned from a page see?

Under the "banned members" section of a Facebook Page's settings, it says:

"A person who's banned can't post, comment, send messages or take other actions on the Page."

However.

Are they still able to find and SEE the Page though?

If they are friends with a person who is part of the Page, will they see updates on that friend's timeline?

I need to be able to set up a Page for an event, it needs to be a public Page so that anyone can join in (because we need volunteers), but I also need a small specific group of people to not know the Page exists (because its a surprise for them).

So would it work to create the page and automaitcally ban them before they see any notifications? Or would they still see that it exists on mine and other mutal friend's feeds?

Thanks.