> Should user be logged-in in order for this test-case to run?

Why not? This is a simple helper function or easily parallelizable block. Same with creating a sub-resource before modifying it. People act like this is the end of the world, but it isn't. And if you like, you can still do your (in my controversial opinion) silly unit tests and you can still parallelize those too!

Whether a dev can build a project locally or not does not relate to whether or not the tests can be run in parallel.