If that title doesn't make any sense, what I'm suggesting is a couple of encounters your lion gets while not wearing the mask be made slightly better for carved egg-finding.

I've been tracking total events and specifically egg finds while wearing the mask vs not and have noticed even with the new breaking chance I'm still getting half as many eggs without the mask. Sometimes it's more like 1/3 as many... chasing has not been kind to me.
It makes it kinda hard to justify not wearing the thing all the time.
That said, I understand the devs/admins are trying to limit the number of eggs so I don't want to go overboard increasing the chance of getting them. Just tring to balance things out a bit better so one method isn't so objectively better than the other, at least for egg hunters.

After my own tests, I think the following changes would even things out some:
- When finding the "confused mother ostrich," you will always find 2 carved eggs instead of 1 with a 25%-50% chance of a 3rd egg
- When finding the chicken family, you have a 50% chance of finding 1 "adopted" carved egg

That's it.

As a side suggestion:
Mask-wearing has also proven really good for getting fluffy carcasses.
Maybe when you chase a bunny back to it's den and it escapes there could be a chance of finding it's family and murdering them all, akin to some of the masked bunny-reaper encounters where you get like 8 carcasses at once.