It certainly does, but you need to install the FSUIPC WASM Module into your Community folder to initiate support.
The attached module should be used in preference to the one installed via the FSUIPC installer. The difference is the attached FSUIPC_WASM.ini file is set to update every second, whereas the FSUIPC installer sets it to update every 6 seconds. Also the 'Layout.json' file is different as it refers to the modified FSUIPC_WASM.ini
Once installed PF3 will have full access to the CRJ/737 Auto Pilots
Please ensure you select the 'Use Folder Names' in your ZIP client when extracting this module into your MSFS Community folder. You should then have a folder named 'fsuipc-lvar-module' containing 3 files and beneath that a sub-folder named 'modules' containing a further 8 files.
Please note: When you first connect PF3 to FS the AP HDG, SPD and ALT will be set to 222, 222 and 2200 respectively, provided you have the FSUIPC WASM module installed correctly. This simply indicates everything is setup as it should be and PF3 can now integrate with the PMDG 737/CRJ AP