Show different content to non-logged-in users

I’m already familiar with how to use shortcodes to show different content to Level 1 vs Level 0 members, but is there a way to distinguish between a Logged-In Level 0 member (a member who was previously Level 1 but their membership expired) versus a web user who is not logged to the site.

I want to show the not-logged-in user a “Please login” button, and show the Level 0 person a renewal form.

Is there any way to do this with shortcodes?

Yes you can. That is done with shortcodes and conditionals. For example, in s2Member > API/Scripting > Simple/Shortcode conditionals. The very first example does exactly what you are looking for:

[s2If is_user_logged_in()]
Content for anyone that is logged in, regardless of their Membership Level.
[/s2If] [s2If !is_user_logged_in()]
Some public content or invitation to log in. They’re NOT logged in.
A leading !exclamation means false.
[/s2If]

I use that on my own site. For example, the forum page is only accessible if you are logged in.
http://scrapbookcampus.com/forums/

If you were logged in, you would see the welcome paragraph and the forum itself.

Yes you can. That is done with shortcodes and conditionals. For example, in s2Member > API/Scripting > Simple/Shortcode conditionals.

That’s correct. :)