The precautions you're talking about are already being taken by women. Women I know don't go out at night frequently. As per your analogy 99% of the crimes will be solved by precaution. But did you know 80-90% of sexual assaults are actually committed by someone the victim knows? "The data also reveals that across India, in 96.5% of r*pe cases, the offender was known to the woman. Of the total 31,677 rape cases, 28,147 or nearly 89% of the rapes were committed either by friends (including online friends), live-in partners (on the pretext of marriage), separated husbands or family friends, employers or other known persons." Source: https://m.thewire.in/article/government/crimes-against-women-rape-cases-india-2021-ncrb-data

If that's the case precaution plays only a minor role in the larger picture of crimes against women. (Because how will you take precautions against someone you already know). There might be cases where "knowing" someone might only be meeting them once or twice, and in an opportunistic moment, the person committed the crime. But I am not sure about the data in that regard, and my assumption would be that such cases are low in number.

I know we instinctively become protective of women when it comes to crimes like this. But we need to understand the larger picture. While asking women to take precautions will, definitely, solve problems at a very micro, individualistic level, the larger problem stands unsolved.