> in its dependency tree.

Ultimately every program depends on things beyond any compilers ability to verify, for example the calls to code not written in that language being correct, or even more fundamentally if you're writing some embedded program that literally has interfaces to foreign code at all the silicon (both that handles IO and that which does the computation) being correct.

The promise of rust isn't that it can make this fundamentally non-compiler-verifiable (i.e. unsafe) dependency go away, it's that you can wrap the dependency in abstractions that make it safe for users of the dependency if the dependency is written correctly.

In most domains rust don't necessitate writing new unsafe code, you rely on the existing unsafe code in your dependencies that is shared, battle tested, and reasonably scoped. This is all rust, or any programming langauge, can promise. The demand that the dependency tree has no unsafe isn't the same as the domain necessitating no unsafe, it's the impossible demand that the domain of writing the low level abstractions that every domain relies on doesn't need unsafe.