Add status tests with varying eligibility and submission status

[b-butler]

Description

We have status tests now thanks to @Charlottez112, but we still do not test the proper output given submission statuses and eligibility/completion changes. This limits our testing coverage and makes detecting bugs in changes to the status code difficult.

Proposed solution

Add tests using the FakeScheduler or some other means to test the different cases. These should be regression tests also that are manually verified in the PR that implements them.

Additional context

Looking at exist status tests and those that use FakeScheduler should help with implementing these tests.