For the purposes of moving forward with the debate on gun safety, I think it's great to apply the scientific process and see what it says. Based on the results it may open up a rabbit hole around censorship, but at least we'll have some solid research to read on it. I suspect the initial research could point to follow up studies that would pinpoint specific factors that we as a society should be concerned about, rather than just "violence in video games".
I honestly have no idea what they'll find, but I'd wager that if there is a link that there are specific triggers or contextual combinations that make them a concern. The good news if that happens is that as an industry we can address those specific things rather than doing all out bans.