There is a tool at https://kb.cablematters.com/index.php?View=entry&EntryID=147 (downloaded the 201388FirmwareUpdateTool.zip ) called VmmDPTool.exe that might work. It can extract and update firmware from many Synaptics devices.
The tool says the CAC-1510 contains a VMM-2320. This matches the numbers shown in the AGDCDiagnose output on a Mac […-…-…-…-035-032] = 0x23, 0x20. The firmwares I have for HDCP-ON and HDCP-OFF are version 2.33.102.