I'd argue that this awareness is a good thing; it means you're measuring, analyzing, etc all the code.
Best practices in software development for forever have been to verify everything; CI, code reviews, unit tests, linters, etc. I'd argue that with LLM generated code, a software developer's job and/or that of an organization as a whole has shifted even more towards reviewing and verification.
If quality is taking a hit you need to stop; how important is quality to you? How do you define quality in your organization? And what steps do you take to ensure and improve quality before merging LLM generated code? Remember that you're still the boss and there is no excuse for merging substandard code.