I struggle to see what problem space is better for one or the other. I’ve replaced all my web service type stuff with Rust and couldn’t be happier. Also a lot of stuff I used to do in Python is more concise in Rust.
No I hung up my Go boots in 2018, so may be a little out of touch.
Rust integrates a bit better with existing software. Inclusion of Rust in Linux being an example. Go culture tends to value pure Go projects a bit more than Rust's, where Rust wrappers around C libs are more accepted and common.
Go is generally easier from a social point of view, there's not much to learn as it's largely a repeat of what people are familiar with. So introducing it in a workplace is easier as the on ramp is minor.
Ubiquitous greenthreading in Go seems to make the integration piece a bit harder, but the onramp a bit easier.
No I hung up my Go boots in 2018, so may be a little out of touch.