It's true that static type-checking proves the absence of an entire class of errors. But it doesn't prove that the code does the correct thing; it could be well-typed but completely wrong. On the other hand, tests prove that the code does the correct thing in certain cases. ...Of course, it's up to the developers to actually write a good test suite.
The faster we can all accept that there are pros and cons to both, the faster we can come up with a solution that takes advantage of the best of both worlds. That's the whole point of this OP.
I, personally, have always wondered about ways to dial in to the sweet-spot over time as a project matures. At the start of a project, shipping new features faster is often more important. But if the project survives, maintenance (by new developers) and backward compatibility become more and more of a priority.