Preface: I'm not an expert in this yet but I'm pretty interested in learning about systems-level topics so if I'm wrong please correct me!
Yes, the thing about anticheats and anti viruses is that they are only useful when they have access to the underlying resources that a virus or cheat engine might try to modify. In other words, if cheating software is going to use kernel-level access to modify the game, then an anticheat would also need kernel-level access to find that software. It very quickly became an arms race to the lowest level of your computer. It's the same with anti viruses.
IMO the better strategy would be to do verification on a server level, but that probably wouldn't be able to catch a lot of cheats like wall hacks or player outlines. At some point you just have to accept that some cheaters are going to get through and you'll have to rely on a user-reporting system to get cheaters because there will always be a way to get past the anticheats and installing a separate rootkit for each game isn't exactly a great idea.
They aren't your pet then, you're their humans so it's fine