Some of the considerations are for fear of serious harm to the benefit of minors or future children in the family, due to the possibility of being labeled as bstrds that will cause damage to their fitness to marry in Israel according to Jewish law. There may be harmful consequences in the religious law of other religions as well. In addition, there is a need for a process that ensures informed consent to the test on the part of all subjects, and admissibility of the results in a relevant legal proceeding (alimony, inheritance, etc.). Therefore, It is prohibited to market in Israel kits intended for genetic self-examination - in any medical matter, as well as for testing family ties.
This means that any services to inspect familial ties based on DNA are unlicensed in Israel and may be deemed illegal and carry penalties.
When the law was enacted in 2000, there were no tests to find ancestry similar to what we have today. The law was made to address familial ties.
If I can put on my tinfoil hat, doesn't this explanation make it seem like the intent is to prevent people from looking into whether they were victims of the Yemenite Children Affair where Israel kidnapped a bunch of babies from Yemeni Jews and gave the kids away to random families?
There are so many dark aspects like this when you start thinking about it for a few minutes.
https://web.archive.org/web/20220726100109/https://www.haaretz.com/israel-news/2022-07-25/ty-article/.highlight/tip-of-the-iceberg-how-foreign-sex-offenders-find-refuge-in-israel/00000182-3532-d7e9-af96-3d73c52c0000