All ratings that are US test passed will carry over onto a stand-alone certificate.
With the understanding that people are still involved which means that mistakes can be made and ratings can be dropped unintentionally so check all the paperwork.
If you have the inclination to do so you can look things up here:
Flight Standards Information System (FSIMS)
Volume 5, Chapter 2, Section 7 or 8
Your piggyback has been issued under Section 14
