I take the following quote from an answer to this question
A Hopf algebra is called pointed if all its simple left (or right) comodules are one-dimensional. The quantized enveloping algebras and Lusztig's small quantum groups are examples of pointed Hopf algebras.
The finte/restricted Hopf duals of quantized enveloping algebras are all cosemisimple. Does this happen in general, or are the duals of all pointed Hopf algebras cosemisimple?