I have a copy of Toast 3.5, I think it is, that installs an Extension allowing my older machines to see and use an external SCSI CD-R. I don't think your CD burner is going to work on a Quadra under 7.5 without such third-party software.
That may be, but he should see it in SCSIProbe even if he can't mount anything on it.
Has the Yamaha drive worked on your Beige recently? I had several of the old Yamaha external and internal CD-RW drives and they die easily.
However, if it worked on your Beige, e.g., last week, then it should work on your Q700 this week.
The next visit would be SCSI issues. You may have the SCSI ID set improperly (conflicting with the hard drive in the Q700). This wouldn't be a problem on the Beige, because, usually, it doesn't have an internal SCSI drive; the boot drive is on the IDE bus. It would be unusual for the CDRW drive to be set to SCSI ID 0 though, I think. That's assuming that the Q700s internal hard drive is set to ID 0, as is traditional.
Of course, if you set the external case switch to SCSI ID 3 (for example) but the internal CDRW mechanism is not connected to the external case switch for some reason, then your SCSI ID on the CDRW drive would just default to ID 0...
Alternatively, and probably more likely there's a termination issue. Could be that the internal drive isn't terminated and adding the external drive makes the SCSI bus a little too long. Could be that external drive isn't terminated as it should be. Termination issues can be weird with some drives being seen and others not.
Do you need a primer on SCSI IDs and termination?