Perhaps we have a difference in definition. To me, a unit test for a function such as "parse_news_email" would explore variations in parameters and states. Because of combinatorial explosion, that often means at least some white-box testing. I'm not going to generate random subjects and senders, and received-froms, I'm going to target based on internal details. Are we doing smart things with the message ID hostname? Then what happens if two messages come in with the same message ID but from different relays? The objective is that the unit test wrings out the implementation details, and the caller's unit test doesn't need to exhaustively test them.
This white-box texting may require directly poking at or mocking internal functions or at least abusing how they're called. For example, parsing the news item might entail pulling up and modifying conversation thread cache entries or state. For some of the tests you may need hand-crafted cache state, it's not feasible to create unique states for each parameter combination you're testing, and testing a combination will pollute the state for the following combinations. Or maybe the function depends upon an external resource you can't beat to death with a million identical requests. So the least-bad, simplest solution may be to freeze or back out part of the normal state update in the unit test. Which would usually involve directly invoking the internal routines.
Can this lead to fragile, false-positve to the point of useless tests? You betcha. That's where entertaining two contrary viewpoints is needed :) Use experience and good judgement about pros and cons in the particular situation.