The DNA is only the tip of the iceberg. Mitochondrial heritage and plenty of other factors also have their say.
I do not even think that there is not much interest or even money in merely copying embryos as such.
Not even for breeding animal species. Get identical clones and as soon as a disease they are vulnerable to hits your stock, there are all gone.
Genetic diversity is a financial isssue. To some extent.
And about plastic rhinos without their natural surroundings? They die out for a reason. And this reason is not reverted in a lab.