Eh, 50/50. Israel would not respond positively to Egypt throwing the gates wide open.
The Israeli openly proposed for the Gaza Palestinians to move to Egypt (effectively ethnic cleansing Gaza, their obvious goal), not that long after 7.10.
Egypt said 'HELL NO', first, because they don't want to deal with Palestinians (both political and economic nightmare), and second because it would have been viewed as ceding to Israelis and helping them cleanse Gaza, which would be highly unpopular among their population.
That is very reductive of the whole situation. The Egyptians are not singularly focused on helping Palestinians; it is far more nuanced than that.
Bottom line, Egyptians are not interested in supporting millions of refugees inside their border. So the border stays closed to mass immigration.
At the same time, neither would Egypt. Refugee crisises are messy.
On the contrary, I believe Israel would be delighted. It would lessen the humanitarian burden on them, and force Egypt to deal with the Hamas problem more directly. It will never happen, though. No Arab country will "throw the gates wide open" for Palestinians. They have done so before, several times, and it went very badly.