Every team I've worked with that was feeling exhausted about code contributions actually needed to focus on better documenting guidelines but most importantly, improve CI. Catching silly mistakes is the textbook definition where automating stuff can help the most. This should improve reviewer's peace of mind and speed things up because people will work by themselves to fix things before asking for a review.
I don't know what's the CI situation in the Rust project but if it's anything like what I'm used to, it probably needs improvement. Adding more human-hours to reviewing things isn't sustainable.
At the same time lint tools sometimes move into the 'pedantic unhelpful' field because those things are the easiest to check (no, nobody likes pep8 and its brain-dead char limit - Black is much better)
But yes, if it can be automated it should be automated