proxy: remove some trace logs

[conradludgate]

Problem

Summary of changes

Checklist before requesting a review

• I have performed a self-review of my code.
• If it is a core feature, I have added thorough tests.
• Do we need to implement analytics? if so did you add the relevant metrics to the dashboard?
• If this PR requires public announcement, mark it with /release-notes label and add several sentences in this section.

Checklist before merging

• Do not forget to reformat commit message to not include the above checklist

[github-actions]

3042 tests run: 2927 passed, 0 failed, 115 skipped (full report)

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Flaky tests (1)

Postgres 14

• test_subscriber_restart: release

Code coverage* (full report)

• functions: 32.6% (6935 of 21295 functions)
• lines: 50.0% (54548 of 109180 lines)

* collected from Rust tests only

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_{The comment gets automatically updated with the latest test results
5af4bf6 at 2024-07-10T09:51:52.140Z :recycle:}