To humor you... if I have a base class of type Animal and a derived class of type Cat, then making a copy of a Cat through a pointer or reference to an Animal results in object slicing which is not what you expect when you make a copy of a polymorphic object. Basically you only end up copying the Animal instead of the entire Cat.

https://en.wikipedia.org/wiki/Object_slicing

One of the motivating reasons to use type erasure is precisely to solve this issue, so that one can copy an Animal or assign Animals and treat an Animal as a value and copies work as expected.

When one copies a std::function or any of the type erased classes provided by the standard library, it just works as expected, without needing to consider lifetime issues, object slicing, C++'s complex rules about inheritance vs. virtual inheritance, and a host of other problems that don't mix well with other parts of the language.

The cost of type erasure is that it requires a lot more work on the part of the author. The libraries I linked to help alleviate most of the boilerplate, but as the examples demonstrate, there's still a lot of work that needs to be done to get it right.