Describe the solution you'd like
Unfortunately at https://github.com/open-telemetry/opentelemetry-rust/blob/976bc54dba564afdc8fd7de51a8feb123f44ecdb/opentelemetry/src/global/error_handler.rs#L62, OTel just dumps errors to stderr unless there is a global error handler set. We should set it and use tracing::error! or similar.