Is this just happening to me, or do the Sticky app windows not appear with this action?

BTT detects that the app is open, but it doesn't see the windows.

that is currently expected, the window switcher only includes standard windows. I'll check whether I can add an exception for the Stickies app (it is hard to filter out non-standard windows because there are tons of different ones - even menubar icons are small windows)
OK thanks, just for your information: AltTab displays the windows.