There are only one or two complete skeletons. There are only about 200 partial skeletons.
One competing theory is that these were extremely old people which would be another reason for sharing DNA.
No, just no.
Some were children.
And I don’t think there is any ancient hominid skeletons complete, anywhere, including full-blooded ancient homo sapiens sapiens. There are tiny ear bones and finger and toe bones, etc. which might not survive for tens of thousands of years.
The same applies to Neanderthal. With modern day gene sequencing, they don’t need every bone in a skeleton to tell the species.