If you average out across the population (and only include heterosexual people), then men and women must have on average exactly the same body count, because who are all these men sleeping with otherwise? The only way for most women have a lower count than men, is for a few women to have slept with an insane amount of men. This isn't really likely, at least not enough to affect the average significantly.
What's far more accurate is that "a high body count" is subjective. Ask 100 people what they'd consider a high body count, and you'll get 100 different answers. And if you ask a misogynistic man baby like Andrew Tate, the answer will likely be "Anyone who isn't me". Most men don't care how many people their partner has slept with, but the ones that do give a shit are the ones who'll be put off by any number higher than 3.
This leads to the second problem, incorrect reporting of figures. This is a topic that people lie about frequently, and usually in opposite directions. Men sometimes exaggerate their numbers, because its seen as a failing if a man isn't experienced, whereas women tend to reduce their true amount. As a result the impression is given that most men have slept with more women than vice versa, which as mentioned is a physical impossibility.
As a real life example, I'm 40, male. The number of women I've slept with is in the low 30s. (This isn't a brag by the way, my brother who has only slept with 2 women has probably had considerably more sex than me, given that all but 4 of mine were one night stands over an 8 month period while travelling abroad).
When me and DP first got together, we had a conversation about it. She asked me my number and I answered, had a conversation about longer term relationships. I then asked her and she didn't want to tell me. I said fine, I wasn't bothered, I'd only asked because she'd asked me first. 5 years later she told me, as part of a conversation about something on TV. That number that she'd been to ashamed to say was 1/3rd of mine. Despite the fact that she already knew mine and wasn't bothered by it, she still felt a sense of double standards over it.
In short, women sleep around just as much as men do, they're just less likely to bang on about it when they do, because they're likely to get judged for it.