A type system can keep you from having to write those tests.
Because with a proper static lang (hint: not Java, not C#), nil doesn't exist? Right.
The claim is true: a type system _can_ prevent null-related issues and eliminate the need to account for them in tests. That's not the same as saying every type system does.
Static typing gives you assurances and tools with which to test your assumptions in the code, for those times when reading the whole stack is cumbersome, and you need to defend against less careful developers. It also transfers a bit of knowledge between developers in a trivial way that would otherwise be a pain to communicate.
In my experience similar arguments hold for software developers. Especially caring can be a big factor; i.e. the "move fast, break things" mentality.
I've been back and forth between typed and untyped languages (somewhere in the range of haskell and tcl) and personally prefer less typing when hacking things together and more typing for high quality software. I'm currently working an infra job where we use both ansible and terraform. They're not direct competitors, but I tend to prefer terraform over ansible when possible, as terraform gives me more "static" guarantees, which translates to more confidence when we apply our code.
Removing traffic lights and stop signs actually reduces accidents because drivers are more careful when driving through intersections which reduces speeds and drivers become more alert.
Developers will adapt to their toolset. If you have a statically typed language, you trust it will deal with type related issues and you become more lax with testing things related to types. When you develop in non-typed languages like Ruby, you tend to write more tests and not trust your compiler (because you don't have one). This is why you will find most Ruby developers are really good at writing tests and embracing TDD.