I think it's pretty cut and dry, the question is pertaining to actual events not the rate of report for each event. Think of it this way: if Sweden counted population differently than other countries and came up with a population of 2 billion it'd still false that Sweden is the most populous country in the world, they would simply be the country which _reports_ the highest population in the world. While interesting in itself it wouldn't make the statement "Sweden is the most populous country in the world" any less false.
The report rates are probably worth mentioning in the explanation of why it's false but it doesn't change the falseyness of the claim. Unless the question is specifically geared towards the rate of report of course but few go looking for that, most want to know the actual rates.
You assume Sweden's high rape rate is based on their counting and reporting practices. Have you looked through the counting and reporting methods for all other countries in Europe and standardized them to reach this conclusion? To me, as someone who hasn't looked at the crime reporting and counting methods of all the countries of Europe, this sounds like a possible explanation, maybe even a likely one, but possible explanations aren't necessarily correct and nor should we assume they are.
Sweden really does report more rapes than the other countries of Europe. Maybe this is function of how they count and report rapes, maybe that's part or all of the excess rapes, but "Maybe" doesn't mean you can conclude the original true, even if complicated or misleading, fact is false.
If we see some odd phenomenon in the metrics for a country, and you can come up with a plausible sounding explanation for the phenomenon, that doesn't mean that your explanation is accurate and it doesn't mean that it is false to assert that the odd phenomenon does exist.
I didn't mean "You" in my previous comment to make it seem like this was your idea or interpretation. I'm aware it is a popular explanation of Sweden's rape rate and the one endorsed by their own National Council for Crime Prevention. I was just trying to refer to "You" in the sense of the argument you are putting forward.
The summary of the report makes the case that, if Sweden used Germany's system for counting and reporting rapes then Sweden would only have 1.5x Germany's rape rate as opposed to their current 6.3x Germany's rape rate. Further, the summary claims, Sweden would fall from "Rape Capitol" to "Somewhere in the middle" by which they apparently mean "Somewhere in the upper quartile."
Okay, so - obvious question here - Do all the other countries use Germany's methods for counting and reporting rapes? Maybe if you applied German methods to every country in Europe then Sweden would still be at the top of the list? Am I missing where in the report they cover this?
Intuitively, I'm pretty skeptical when an organization that has a big problem does some figuring and says "Actually - not that big a problem." Maybe the analysis is right and Sweden's high rate of rape is entirely/mainly a statistical consequence of expansive definitions and aggressive counting. But, from what I know of bureaucracies, I'd be pretty surprised if the Crime Prevention Council called in a guy to do a report on their high crime numbers and he came up with an answer of the form "Yeah, this is terrible."
The report rates are probably worth mentioning in the explanation of why it's false but it doesn't change the falseyness of the claim. Unless the question is specifically geared towards the rate of report of course but few go looking for that, most want to know the actual rates.