The Quadstick Manager Program (QMP) versions 4+ can make use of a virtual DualShock 4 emulator program named ViGEmBus. Prior to the release of version 6 of the PSRP, this allowed the Quadstick to be used by PS4/PS5 consoles with full motion and touchpad functions. With the release of PSRP Version 6, ViGEmBus stopped working. There are two basic work-arounds without resorting to using a hardware adapter: Install an earlier version of PSRP and patch it to prevent it from updating or use an open source alternative called Chiaki.
Installing PSRP version 5.5:
Uninstall newer version of PS Remote Play, if previously installed.
Download and install the previous release that worked with QMP 4+: PS Remote Play version 5.5.0.08250. When first running the installer, ignore when it asks for the exe and dependencies. When first running PSRP after installation, do not follow the prompts to update PSRP to a newer version.
If you do not want the continually reenter the PS remote play PIN codes, with PSRP closed, download, un-zip, and run the Remote Play version patcher: Xeropresence patcher
If in the future, whenever PSRP requests you to download a new version of PSRP, simply re-run the patcher and it will update the version number of the installed PSRP.