Actually that's exactly how it is done in highly structured "clean room" software projects. If you fixed the "bug" in your software, then the process team couldn't fix the "bug" in the process that resulted in the bug in the software.
It's horrendously redundant and wouldn't be applicable to most software, but it does work well; when bugs are picked up by the third or fourth layer of testers, which happens from time to time.
Is this based on seniority, as in the new guys have to write the tests? That way you would at least have some experience with how to code in an easily testable fashion.