I can confirm that rpid works fine on the 2160 using the distro with FreePBX and Asterisk 13. On the phone, Use P-Preferred-Identity Header is set to default, the extension settings are Trust rpid set to yes and Send rpid is set to PAI. I am using firmware version 1.0.4.23 in case that matters.
I tested using the transfer button on the phones as well as the Asterisk feature codes, both work.