What makes you say this? From the sample I've seen, Rust programs are far more diligent about handling errors (not panicking: either returning error or handling it explicitly) than C or Go programs due to the nature of wrapped types like Option<T> and Result<T, E>. You can't escape handling the error, and panicking potential is very easy to see and lint against with clippy in the code.
It's not like there's not exceptions in Rust though. The error handling is thorough to a fault when it's used. Unwrap is just a shortcut to say "I know there might be bad input, I don't want to handle it right now, just let me do it and I'll accept the panic."
The ideas of Rust weren’t new when Rust was developed. The actual integration into a new programming language beyond experimental status was, and the combination with ML-style functional programming.
The differences are they are actually meant to be used for exceptional situations ("assert violated => there's a bug in this program" or "out of memory, catastrophic runtime situation") and they are not typed (rather, the panic holds a type erased payload).
Other than that, it performs unwinding without UB, and is catchable[0]. I'm not seeing the technical difference?
[0]: https://doc.rust-lang.org/std/panic/fn.catch_unwind.html
Nevertheless a long living application like, e.g., a webserver will catch panics coming from its subtasks (e.g., its request handlers) via catch_unwind
You're not wrong but you chose a hilarious example. Unwrap's entire purpose is to turn unhandled errors into panics!
Array indexing, arithmetic (with overflow-checks enabled), and slicing are examples where it's not so obvious there be panic dragons. Library code does sometimes panic in cases of truly unrecoverable errors also.