On Facebook, can friends on your restricted / acquaintance list see everything in the "recent activity" box?

[Shannon]

For example, if I put someone on an acquaintance or restricted list, I know that my posts and activity would either appear in their news feed or ticker less (acquaintances), or won't appear in their news feed or ticker at all (restricted).

But if they view my profile page, will they see entries in my recent activity box (bottom left)? I believe some recent events are public, like when you attend a public event, so people who aren't Facebook friends with you can see those too. But what about stuff like if I liked a page or if I became Facebook friends with someone? Are all these activities visible to everyone as long as they are your Facebook friends, or are some of them visible/not depending on which lists your Facebook friends are on?
I am asking specifically about the "recent activity" box, not about whether they can see notifications in the ticker / news feed.