Is "entitled to" the same as "entitled as"?

I was listening to a philosophy video from the university of Queensland (on four dimensionalism view on fission) and at the end there was a paragraph that says:

Since I am many, I survive as many, and while each successor of me is as entitled to the next to claim to be the successor of me, since after fission they are distinct from each other, they can’t all BE the successor of me.

What does “as entitled to the next” mean here?

Is it the simply the same as “As entitled as the next successor”?

Is there any semantic difference between ‘entitled to’ and ‘entitled as’ here?