The industry is obsessed with getting 100% unit test code coverage even though it doesn't mean anything to the project. The purpose of unit tests is to lock down the project's source code once it's essentially completed; to avoid regressions when making minor changes. If you start writing unit tests too early in the project, you're effecively locking down units of code which haven't yet proved themseves to be useful…
In my experience the only time when unit tests were useful was when they were integration tests at the same time.
For example when writing a data structure or algoritms or programming language/compiler. There is a clear boundary to such a system and one can reason about it in terms of input and output black box. As such the test for this system is an integration test, but due to its isolation it looks so simple that someone would call it a unit test. Second example would be all TDD blog posts, where the author tests some trivial entity with perfect isolation. That confuses integration tests with unit tests again.
The biggest mistake people do when they write tests (or library functions) too early is that they miss the target. The first part of writing code is not to produce a clean and maintainable system, but to get the requirements right. Listening to people seldomly works, it is usually better to observe people interacting with some prototype and infer requirements from that. In words of Henry Ford, the goal is to find that the requirements are for a 'car' and not just for 'faster horses'. People who fossilize the requirements too early miss the target completely in my experience.