"The examples are not equivalent, but the broader principle is the same."

The common principle is:

How should the past influence present rights?

But the legal contexts differ.

For example:

Temple–mosque disputes concern religious sites and property.

Territorial disputes concern sovereignty and borders.

Questions about religious ancestry concern personal identity and freedom of religion.

These are different legal issues.

Nevertheless, all raise the broader methodological question:

Which historical period should be treated as legally relevant?

So they share a common framework while differing in legal subject matter.