As an oil sub, for sure. As an egg sub, kinda. And ultimately applesauce only works well for moisture but it isn't a binding agent.

There are some ok vegan substitutes I've had to use when my roomie couldn't have eggs in the house (Indian religious thing), applesauce was terrible but tofu and starchy stuff worked ok. Hell, even bananas although it's very obvious flavor wise, like banana bread.

Can't really replicate eggs perfectly, though. They're magic.