Sounds like there's not a lot of difference between "citizen" and "subject". The claims of ownership across generations for births that occurred elsewhere are the most astonishing part of this for me.
I said Isreal was "open to" certain people, which is an accurate description of the policy. Where citizenship suitability is at issue, such as an asylum claim or immigration/visa application, religious factors then come into play. I made no mention of Israel claiming control or forcing citizenship on anyone.
Israel GRANTS citizenship to people of Jewish ancestry. It doesn't claim ownership of them like China is doing in this scenario.