Not quite. If you click on the VIA Technologies link on the search result page, you get to a "details" page for VIA: http://www.pcidatabase.com/vendor_details.php?id=648
That page lists all of the VIA PCI devices, and the one with DEV_ID of 3065 is
| Chip Number: | VT6103 |
|---|---|
| Chip Description: | Rhine II PCI Fast Ethernet Controller |
| Notes: | http://www.via.com.tw/en/support/drivers.jsp |
So your product uses a VIA VT6103 chip, and if you go to the link, you'll find the driver (which happens be the same one for the VT6107 that I had picked above).