instrument annotation prevents clippy::print_stderr and clippy::print_stdout from working

Bug Report

When #[instrument] is applied to a function, clippy no longer picks up uses of eprintln!, eprint!, println!, print! when linting for clippy::print_stderr or clippy::print_stdout, respectively.

The workaround I am using is to do #[cfg_attr(not(clippy), instrument)], however this is not ideal.

In this Rust Playground pick Tools > Clippy for an example of the bug, and the workaround.