These are so much more clear. The first image shows the core concept that this generates printable schedules to go on A4 paper, and the very next images shows the print dialog in the app itself. Instantly, I know what this does. Apple pushed you towards a much better app pitch page! I'm interested! This is a really neat idea.
Tangential, but I work at a company making POS systems so we end up with a lot of weird knowledge about receipt printers. Past ~year or so, I've set up a little web service at home that prints out my calendar on a receipt printer near my coffee maker early in the morning so while I'm getting up and still groggy, I have a little schedule for the day ready to skim over. By far, my favourite weekend project ever. A couple weeks ago I got it printing out a sudoku puzzle (just baaaarely fits on 80mm thermal paper) on weekend mornings! If you could somehow get this rendering the templates it prints out in ESC/P byteslop (it's a confusing standard) in addition to rasterized documents, that could be neat! In terms of cost-to-print, muuuuch cheaper for a daily-use thing. The main thermal printer companies have iOS libraries you can drop into your app, or you can just send the bytes directly to it, netcat style. Always surprised that just works... sometimes.