It addresses this and is pretty great in my opinion. Of course one does not have to agree with it but it is not the same as the mess back then and usually the separation of concerns is more about separations of technology than concerns.
As an an example:
Let us say we have a shopping basket up in the top right corner of our web page. For me there is a big difference between the logic of calculating to the total sum of the parts we have in it or collapsing/expanding it. One is "business logic" and one is "presentation logic" and they are not the same.
And I also bet that if for example HTML or CSS had native collapse/expand then people would consider that presentation as well and not to mention all the logic you usually have (loops, conditions) in a normal template language.
