No, I'm going to argue that Guns are the most successful battleground in the culture war (at least in the US), and possibly abortion.

For guns, the one hundred year long effort to criminalize firearms ownership starting at the Cruikshank decision reached it's absolute peak with the Assault Weapons Ban during the Clinton administration, that proceeded to die after "sun-setting"; but every secondary attack the Left have made has been basically rebuked and now momentum is rolling in the opposite direction. There are major efforts at re-legalizing open carry, ending the National Firearms Act, and re-introducing Constitutional Carry. Thanks to all the terrorism (Leftwing or otherwise) and distrust of institutions, there has been no popular movement towards gun control, not really even on the Left, this despite their desperate effort to claim that all crime in their hive cities, and all school shootings, are entirely the result of the existence of firearms. When it comes to guns, we are regressing towards the 1960's, at least in America. Internationally, while the Anglosphere hasn't moved, the non-Anglosphere (particularly in South America) is recognizing that firearms ownership seems to actually alleviate crime. They are intentionally loosening firearm restrictions in even Socialist countries to get some of the rampaging crime under control, as well as limiting prosecutions against victims retaliating against their attackers. In some cases, this might be still limited to off-duty police, or people with the police's approval, but it's a damn sight better than what they've ever had.

For abortion, there can be no doubt that this is the one issue where the right seems most organized and well-funded on, yet has only had middling success. It seems to be the absolute biggest theater for conflict. Strangely enough, the success of overturning Roe v. Wade has come only after the power of the Evangelical movement died. For the right, there is a huge problem of their institutions are just as distrusted as even the mainstream institutions by their own members, but culturally there seems to be a religiosity increase. People are seeing the value in (and making competent philosophical and social arguments for) religion. This seems to be causing a genuine push against abortion, now that the Left has finally declared the "Safe, Legal, and Rare" compromise from the 90's consensus to be dead. I'm still amazed at how incompetent the right are at reading ballot proposals, but if it weren't for the Left's excellent ability to lie, and the right's inability to read, there wouldn't be the kind of blowback we actually saw. Although the Left did get headway with multiple pro-abortion efforts (pro-choice is basically a dead concept), anti-abortion is also gaining a lot more ground politically. It really does seem like "Heart Beat Bills" are basically popular everywhere, but the Left needs to spin wild lies in order to keep pro-abortion laws on the books. Their control over information is strong, but I think there's a real popular anti-abortion sentiment taking root. I do believe that America is leaning towards a Fourth Great Awakening, but it hasn't hit it yet.

By contrast, video games probably have the strongest reactionary popular sentiment, and are still in general populated by 'Left Libertarian' youngsters. They are all the "Live and Let Live" types that they've always kind of been. But despite a full and total conquest of every major gaming institution, almost on Earth, that audience hasn't really budged in 10 years. Progress against those institutions, on the other had, have been mixed. Yes, YouTubers defeated Access Journalism. YouTubers are now being displaced by Twitch streamers. And YouTubers themselves are still very much part of Access Media, but they happen to be more competent and open with their biases than journalists ever were. We've really not made progress in the way of changing the gaming development scene either, despite the fact that AA and Indie development is stronger by orders of magnitude than it was during GamerGate. There is no reactionary game developers. All we've got is a partially based audience who can't take SJWs seriously, and some based modders, and that's about it.