ClientRequest exposes a logPrefix, controlled via a request attribute or otherwise set to an identity hash by default. The logPrefix is passed to and exposed in the ClientResponse but and it helps to correlate request and response logging, However, it is not connected to the underlying connection id and logging from the underlying HTTP client.
ClientHttpResponse can expose an id similar to ServerHttpRequest which can be based on the connection id when available. This can then be appended to the existing logPrefix such that once a response is obtained, subsequent logging will also include the underlying a connection id.