Something to keep in mind is that "calling GM" is putting you in touch with someone in a call center. They don't have the capacity to do comprehensive searches on every item that may occur, so the reply of "I haven't heard of that" is literally from that one person's sole perspective. Yes, they can look for certain items, but mostly they're just going to search the VIN of your vehicle to see if there are any open recalls and relay that to you if they find any.
If you're contacting them, open a case, report the issue, and go from there. The dealer is going to be your source of info and possible repair, and intermittent issues are basically impossible to solve. What I mean by that is they ONLY way to know if you have corrected an issue is to have a definite way to either produce the issue or test for presence of the issue which you can then use once a repair has been attempted to verify the issue is gone. Things that happen unpredictably and without a known, specific cause may or may not be resolvable because there is no sure-fire way to validate that a repair attempt worked or not.
Let them hook it up to the magic computer, and see what info they get back. If you get the dreaded "We couldn't reproduce the problem", ask them how you can go about collecting more information for them to use, in combination with your open case, to eventually determine the cause.
Hope it turns out well for you!