1. Open the Instant Copy driver assignment utility, and write down the EXACT name reported by your burner, eg "SONY____DVD_RW_DRX-500ULX" or whatever.
2. Find the registry key HKEY_LOCAL_MACHINE\SOFTWARE\VOB\CDRApp\Writer\
3. Export the subkey SONY____DVD_RW_DRU-500A
You can also export any other subkey referring to a burner you use.
4. Delete the key HKEY_LOCAL_MACHINE\SOFTWARE\VOB\CDRApp\Writer\ (not 100% necessary, but useful to speed up Instant Copy).
5. Open the exported Sony subkey with a text editor, replace "SONY____DVD_RW_DRU-500A" with "SONY____DVD_RW_DRX-500ULX" or whatever and then import it back to registry (as well as any other burner info you have exported). Should work fine- do a reboot although it's not really needed.