Haven't had luck with Linux and Thomas Winischofer's SisControl ... so I tried it modding myself.
... and failed

Using 315_230.bin (newest available SIS 315 - Video BIOS v2.30.01 with device ID 6325) and MMTool2.exe (available in amitool155.zip) I have replaced existing module ID 20 (PCI option ROM, Vendor ID:1039, Device ID:6325).
The replacement should be done on following order otherwise MMTool2 crashes !!:
Load ROM -> BIOS.ROM -> Browse -> 315_230.bin (uncompressed !) -> Replace. "The module was replaced succesfully" -> Save ROM as -> BIOS_NEW.ROM
Now, if you extract module 20 (RunLoc 6325:1039) from new BIOS_NEW.ROM, you'll get file exactly the same as 315_230.bin
Basically, that should verify that everything is OK.
Unfortunately, NOT: after programming the laptop could not boot (powering up and restarting in circle, no screen on either VGA panels).
So, I tried inserting manually: Compressed 315_230.bin with lha255.exe to 315_230.lzh (lha355 a 315_230.lzh 315_230.bin) and inserted it at BIOS.ROM file offset 0x1C41A where resides original Video BIOS (I used Hex Workshop for that purpose) and saved it as NEWEST.ROM.
For verification case, I've loaded NEWEST.ROM to MMTool2 and extracted module 20. The extracted file matched exactly as 315_230.bin, so I did it correctly (at least MMTool2 does not complain).
NOT again: the laptop keeps rebooting the same way as before.
CONCLUSION: Don't do this at home unless you have EPROM programmer and/or backup 29F040 EEPROM with original ROM

I give up ...
bye
