I am interested in the same thing. I couldn’t find the original post but someone had written this:
“To keep your authorized keys after reboot, use a persistent home directory, e.g. by installing Entware”. I found the following links (for my PR4100) to Entware:
Link to OS 3: WD community
Link to OS 5 packages: Service End for Bintray, JCenter, GoCenter, and ChartCenter | JFrog
However, I have not investigated its use, nor attempt to install it yet.