https://www.quora.com/Why-is-functional-programming-suited-f...
Functional programming is also easier to mathematically verify than imperative:
https://semantic-domain.blogspot.com/2018/04/are-functional-...
While you might not do proof, languages and methods that are easier for proof are often easier for automated analyses that look for problems, too. There's tools out there that can check code for concurrency problems that are extremely hard to spot with just testing. They might be easier to build or get more results if the program was functional/stateful instead of heavily stateful.
https://github.com/project-everest/hacl-star
You can verify stupid designs or smart ones. You can do impractical verification or pragmatic approaches. Formal verification is a tool whose outcomes depend on who wields it. The only consistent drawbacks it has are requiring more expertise, the project takes longer, and the project has to be simplified in design/implementation. High-quality software in general (eg OpenBSD) often has same properties, though. Possibly intrinsic to achieving correctness rather than additional requirement of formal methods.
Of course, you can still deadlock yourself; and read-modify-write can still be done in a racy fashion. Emergent properties of a system are still hard to reason about, but individual processes should be easy to reason about.