I disagree, everyone I know who has been on a keto dietic consumes little to no fruits or fiber. Honestly, I'm not sure how they use the bathroom successfully with such little fiber ingestion.
You are correct, fruit is mostly sugar so no fruits. Some keto adherents allow the occasional handful of berries, but I found that just made me unreasonably hungry later on. Not everyone has this reaction, though.
There is plenty of fiber in above-ground vegetables. And even if there wasn't, it's not like eating only meat would kill you, humans evolved on the plains and/or jungles of Africa where meat was almost all that was easily available.
Re fiber, A significant portion of the population (maybe a majority) doesn't need much fiber to use the bathroom. It seems like this need is a common situation that people assume is a universal truth. Further, fiber can lead to constipation for many people.
There is no boogie man trying to scare people away from broccoli.