Okay.Jealousy seems like a poor foundation for influence
I suppose that would depend on the usage of the word you employ. Paul didn't mean, petty jealousy, but rather one that would drive the Jews to repentance.
This is very much the way God talks about Israel in the old Testament.
Isaiah 49:6
he says:
“It is too light a thing that you should be my servant to raise up the tribes of Jacob
and to bring back the preserved of Israel;
I will make you as a light for the nations,
that my salvation may reach to the end of the earth.”