I hate it when that happens. Maybe we need the posts to be sorted by when the response was started instead of finished. (I know: software.)
My opinion:
As long as the EGC's remain separated back to the service as they are now (and presuming it's properly done now), the main concern to me would be adding the new equipment load to this panel, which supplies only electronics now.
If there is an issue later, you're most likely to hear from the register people, when they start having system glitches. I have been 'blamed' for POV system hiccups, and found refrigeration equipment plugged into IG circuits.
One could argue that, in reality, everything is in parallel with everything (short of isolation transformers), but we still endeavor to keep sensitive equipment separate from noisy equipment. It certainly can make a difference in performance.
My point is that the grounds may only be part of the possible problems. Noise on the power lines can be worse.
I suggest pricing it both ways, explain the risks as well as you can, suggest that they ask the register provider for their opinion, and let the customer make the choice, with the understanding that changing it would cost more later.