How to create a new print layout on macOS?
According to another stack exchange question thread, it looks like these options are in fact provided by the printer drivers rather than the app you use to print.
Here a user mentions:
That option will only be available for printers that offer duplexing and automatic booklet making. Booklets made by printer drivers may place each page inside the print area of the sheet, thus scaling the pages to be smaller than necessary.
and in this answer's comment thread one user claims that they don't have the booklet option. Another user then claims that the booklet option comes from the printer drivers at their work.
If you wanted to make a new layout, your best bet is to make a template document in your word processing app of choice (Pages, Word, LaTex, etc) and then save it. Then always open that document and save a copy, then create your one page booklet by adding images/text/etc to the copy, so you can keep using the original as a template.