Not if the voltage drop is less than 0.5V. What voltage do you need to generate spurious spikes from the photodiodes? I'd guess a few 10s of mV.
Your meaning isn't clear here. Are you referring to photodiodes in the USB data connection from the spectrometer to the computer? Higgins' comment and your own understanding of digital systems should rule that out. The data is accumulated in the UCS30 MCA and is sent to the computer in real-time merely for display. On completion of the integration, the data is downloaded to the computer as a file in.csv format, or a similar default file format that includes setup parameters. In either case, it's a digital file and defects in transmission of that data would cause one or more packet CRC errors and eventual abort of the file transfer. As pointed out by others, it's impossible to conceive of such a peculiar digital error as to cause incorrect but coherent data like what we saw, without also causing a system error. If USB was that fault ignorant, no one would use it.
If on the other hand, you were referring to a photodiode in the scintillator head, that is not how they work. The photomultiplier tube typically operates at around 800 volts and would not be affected by ground leakage resulting from the mechanisms you described.
Regarding possible ground loops, the data system is star grounded and also has a 5 ma GFCI on its mains power source. Subsequent to my study of GS alumina conductivity leakage, I completely isolated the heater power system with a medical-grade transformer. I then tested the ground leakage current and found it to be 50 microamps or less at up to full heater power.