[Recorder] Sanitizers not applied as expected

https://github.com/Azure/azure-sdk-for-js/pull/24739#discussion_r1098221357

I've generated the recording and it worked fine, I guess there is some race condition in the test proxy

_Originally posted by @HarshaNalluru in https://github.com/Azure/azure-sdk-for-js/issues/24451#issuecomment-1420312362_
            

TODO: Figure out test proxy race condition and report to Scott B