test: add additional scheduler integration tests for property-based scheduling (1/)

[michaelawyu]

Description of your changes

This PR adds a few test cases for property-based scheduling in the scheduler integration tests. More PRs to ensue.

I have:

• [x] Run make reviewable to ensure this PR is ready for review.

How has this code been tested

N/A

Special notes for your reviewer

Also includes a minor fix (see #853).

[ryanzhang-oss]

can you please resolve the conflicts?