I, as her spouse cannot own property and I have limited ownership in a business (I think it's 40%, but don't quote me)
My wife is happy to be an American citizen and has little desire to maintain any connection to The Philippines.
But that’s the Philippines recognizing dual citizenship not the US! Just because they allow it doesn’t mean it has any meaning to the US. I think Israel has something similar. Just because one country has law A doesn’t mean that law has any authority here.