What we know is that they identified mitochondrial DNA and Y-haplotype. They could have done something with autosomal DNA, only all genetic genealogy was in nascent stage at that time, if at all. Autosomal DNA would tell us more about a person's ancestry, but even now, all they can reliably tell is where your ancestors have lived within the last 150-200 years. They definitely can't tell where you live now by looking at your DNA.
H, V, HV are all European, but only 40% of Ashkenazi mito DNA are from the "founder" groups, and even this is highly questionable. Ashkenazi Jews got into genetic bottleneck, and maybe some local women converted. Another interesting fact? Palestinian BRACA1 gene, causing breast and ovarian cancer, is found in Mexico. How? The Spanish inquisition didn't trust its "marranos", the Jews forcibly converted to Christianity, and tried to send them out into newly acquired colonies. Where people mixed with the locals.
But, as I started thinking about BRACA, I remembered a situation that gave me some ideas regarding this case.
In short: a company like the now-defunct DNA.land. That ambitious project imploded due to certain disorganization, but they were run by the Columbian University and did research in breast cancer. Once, they asked for DNA of people with positive and negative negative family history of breast cancer, to compare. Several of my relatives with negative family history, agreed to donate their DNAs for the study. As a side benefit, there was also a relative search function. I wish they had it now.
So, Japan might feel it would be problematic sending the killer's DNA to the US. They already had problems working with Korea, remember. But as long as the killer is faceless, they have nameless DNA, and hence, there is no violation of privacy. Privacy applies to the case when the DNA of a known person is subjected to studies without the person's consent or court order. But with faceless DNA, they can do full genome sequence (1000 $ at most), extract the full genetic code, it is essentially long sequence of letters, and then they can compare it with any DNA they see fit. In any world lab or open-source project. At this point in time, anonymous DNA is their strength. Someone faceless broke into the house, killed four people, bled all over, defecated in the toilet, ate food, stole money and left. His DNA, the result of his vandalism, is as obscure as him. For all I know, Japanese police can compare different portions of the genome with data from different projects, the way they see fit. Y - with one open source, mito - with another. This will protect the anonymity for longer, and then they can pull it together.