Please update the documentation for property persistence to reflect the client:page and client:app persistence strategies. Here is the text you could use:
There are two scopes for storing properties on the client: app and page, denoted by client:app and client:page. If you omit the scope, i.e you specify client to be the persistence strategy, it will default to client:page. Properties marked persistent with client:page will be persistent until another page is activated and rendered. Properties marked persistent with client:app will always be there.