The most important thing is that you ensure your writers tailor the LORs to flex your strengths and mitigate your flaws.
In general, if you have nothing else to work with, it's okay to give your LOR writers your old PS. But, you should be sure to denote what you'd like them to focus on for your LOR, since your PS is outdated. It's probably more important to make sure you get strong LOR, and get them in early then have them wait on you to re-write your PS. Giving them a good reference point often facilitates receiving a strong letter.
However, for the real PS you'll turn into the AAMC you'd best be sure to stick to their prompt -- be ready to overhaul your current PS entirely.