We Never Know
No Slack
No it is you that is misguided. Nobody is lying - except possibly you.
The link you refer to is about comparing the Y chromosome only.
The latest DNA comparison I have been able to find was done in 2005 and indicates that Man shares about 96% of DNA sequences with chimpanzees: Our DNA is 99.9% the same as the person next to us — and we're surprisingly similar to a lot of other living things
Humans are 96% similar with chimps and 90% similar with cats.
I wonder if they have ever had a study comparing the genetic similarity between a chimp and a cat?