Hallo again. I tried Linux. In fact, the drive is recognized! As you said, not as a 3500, but a ND 3100A drive:
ieee1394: sbp2: Logged into SBP-2 device
ieee1394: Node 0-00:1023: Max speed [S400] - Max payload 
Vendor: _NEC Model: DVD+RW ND-3100A Rev: 0.01
Type: CD-ROM ANSI SCSI revision: 02
I tried the linux version of binflash. With the scan option, it seems to hang for a while, and finally finds no devices. In the system log, there appears an error message:
ieee1394: sbp2: aborting sbp2 command
Mode Sense 00 2aieee
1394: sbp2: aborting sbp2 command
Read Capacity 00 00 00 00 00 00 00 00 00
00 80 00
Is there any hope to get it fixed in Linux, or do I have to connect the drive to the IDE bus directly? Will the drive then be found by the flash software?
Thank you for your help, Cluso.