It should be obvious to most that science has moved beyond that a long, long time ago. That is akin to coloring books of the Bible, it is made as the most rudimentary example to show a concept, not to be for technical details. The current 'tree'(sic) based on genetic studies is far more complex and yes, not exactly a tree any more.
Here is a very zoomed out version:
Here is a .pdf version of that in which you can zoom in the details. The image is about 11% size, you need to zoom in at least to 200% to be able to read the details. This in itself is even just a fraction as genetic studies are adding more and more branches and some things get switched around. That is part of the constant learning and exploration process.