Even cloned animals are derived from the differentiation of a cell starting from 0. In other words, the cerebral cortex (the part responsible for memory) of cloned cats is all formed the day after tomorrow!
Therefore, the memory of a cloned animal is formed by itself, regardless of who provided his genetic material.
As for the health of cloned animals, ...
First of all, I must remind you that the cells of cloned animals are not naturally combined with sperm and eggs, but they still need to find their mother's uterus to achieve implantation and development like ordinary embryos ... In this process, there are many factors that affect the fetus, including the mother's health, professional ability of cell engineering operation, success rate and so on. In fact, it is difficult to ensure that a fertilized egg can develop into a normal individual as safely as an ordinary fertilized egg. The vast majority of operations that are taken for granted will not get healthy individuals in the end.
Only when you are sure that you are a cloning major can you say that the cloned cat is healthy.