Capturing a stack trace is a hefty operation: making it happen on _every_ error creation, which would include creating an error in response to another error (like <failure to allocate> causing <failure to create object>) could easily grind a production server to a halt. Especially if there's correctly handled errors happening: every one of them will pay this cost, every time.
It sounds like a really specific problem here; the log line that's happening is generic enough that it doesn't identify which line of code is emitting the log, so you can't just add `capture` to that line (what logging system even does this? printf logging?).
It is a specific problem, so what? You see that you are sending 500 from an axum handler, and you are logging "serde deserialization error: line 4 invalid", wouldn't it be nice to see where that came from, without instrumenting all the places you are deserializing something?
It sounds like what you want is the errors you log to always log stack traces. Which is a fine position, I do something like that. It's just not something that can be the default, because it can't be done everywhere.
Some languages have exceptions as the only error handling mechanism (C#, Java, scripting languages), and it sounds like that's what you're used to. But this is also broadly agreed to be a severely limiting factor of those languages, resulting from being designed at a time when we didn't know better.
If you want to go fast (and Rust does), you cannot be catching exceptions in the hot path, and you certainly can't be throwing exceptions that carry stack traces, because walking the stack to build up the stack trace is many orders of magnitude slower than returning an error value.
Rust's error handling modes are designed with the benefit of hindsight from all those other languages from the last few decades, and reflects the fact that errors broadly fall in two categories: validation failures and programmer errors. The former should be a cheap error code that can be handled, the latter should terminate the program/thread/task and give you enough information to diagnose the problem.
Since Backtrace::capture() is already tied to an env var, we could have the backtrace on Result without affecting performance, since you would only enable it for debugging. This would allow you to eg. easily track down a situation where you see in your prod logs that you are encountering a lot of "validation error: string is too long" but you can't tell where it is coming from. Flip the env var, redeploy the application, read the backtrace, turn off the env var, fix the problem.