Is `std` generally expected to be a default feature?

In crates that can be used with #![no_std], but have an std feature, is std generally expected to be a default feature? Or do you think it's situation dependent?

I ask because I'm writing a couple of crates meant for embedded use, where all std does is implement Error on the error types

Would you be more or less confused if the crate nostd-crate-for-embedded-development has std enabled by default?