>just ends up with less genetic diversity than the mother

"just"...

In humans, even a small loss in genetic variability such as cousin mating 1.5% is bad enough that we have laws against it in nearly every society.

Charles II, the last Habsburg king of Spain, had lost 25% genetic diversity and was mentally and physically disabled, and infertile. This genetic loss is equivalent to parent-offspring or sibling mating.

Some animals, like lab mice, can survive without genetic diversity, but they are much less fit and difficult to raise. Your half clone would have lost nearly 100% of its genetic diversity. A near-full clone mechanism exists which would preserves genetic diversity. We'd have to sequence this shark to find out.