It is highly likely that CS: GO, a more popular game with an established position on the market, has a higher absolute number of cheaters in a given cohort. Hence, you probably will encounter more cheaters in a game across the population, especially non-prime, which is free and aimed to concentrate most retards out of the competitive landscape through the paywall. We can also speculate that it is one of the best learning grounds for VAC. But regardless, where you should start building your argument is, % of flagged vs banned users, % of false positives, and list goes on. You can't simply say, you see more cheaters in non-prime and use it as an argument that Vanguard is good and VAC is bad. That, as an argument, is wrong on so many levels.
The second part of Valorant doing it - I am not really going to dive into this as that encompasses completely different variables to take into account and I don't think it adds to this discussion. My point was mostly to point out that you are basing your take on anecdotal, emotional "evidence"