If we extend that line of reasoning then if you're raped but can't prove it you should stay silent because making it public without hard evidence is just not an option.
That's before you even get to any problems before you reach the rape kit stage - I've read way too many depressing posts on r/twoxchromosomes and other sites where women don't even know if they've been raped because they don't remember it after being drugged (good luck with a kit that late) or don't think it "crosses the line" or are just like "it was a bad night" if their boyfriend rips their clothing off and tries to have sex with them even though they were saying "no" and crying the whole time. Usually comes hand in hand with a culture that likes to perpetuate bullshit like "you can't change your mind in the middle of having sex" and "married people can't be raped by their partner".
Gooood luck with rape reporting in general, there's a reason - no, many reasons - why so many people keep silent.