streamable-http stale session returns UnexpectedContentType(None) instead of status-aware error

[adam-r-kowalski]

Describe the bug
With streamable HTTP, when a client sends a stale/invalid mcp-session-id, the server returns 401 Unauthorized plain text without Content-Type. The reqwest streamable client then surfaces this as StreamableHttpError::UnexpectedContentType(None) instead of a status-aware error that preserves the real failure context (401 session not found).

To Reproduce
Steps to reproduce the behavior:

1. Start a stateful StreamableHttpService.
2. Send POST /mcp with headers:
   • Accept: application/json, text/event-stream
   • Content-Type: application/json
   • mcp-session-id: stale-session-id
3. Send any valid JSON-RPC request body (for example ping/tool call).
4. Observe raw HTTP response is 401 Unauthorized with body Unauthorized: Session not found and missing Content-Type.
5. Observe reqwest streamable client error is UnexpectedContentType(None).

Expected behavior
For non-success HTTP responses, the streamable reqwest client should return a status-aware transport error (including HTTP status and response body), not a content-type parsing error.

Logs
Raw HTTP from stale session path:

• status: 401 Unauthorized
• body: Unauthorized: Session not found
• Content-Type: missing

Current client error:

• StreamableHttpError::UnexpectedContentType(None)

Validation commands run against patch branch:

cargo test -p rmcp --test test_streamable_http_stale_session --features "client server transport-streamable-http-client-reqwest transport-streamable-http-server"
cargo test -p rmcp --test test_streamable_http_priming --features "server client transport-streamable-http-server reqwest"
cargo test -p rmcp --test test_custom_headers --features "client server transport-streamable-http-client-reqwest transport-streamable-http-server"

Additional context
Per contribution guidance, posting this issue first to discuss before opening PR.

Patch is ready on fork branch:

• branch: fix/rmcp-stale-session-error-mapping
• commit: 0666ba4
• link: https://github.com/adam-r-kowalski/rust-sdk/tree/fix/rmcp-stale-session-error-mapping

If this direction looks good, I can open a PR immediately.

[alexhancock]

@adam-r-kowalski Yes, please open a PR and I will review. Thanks

[Ejb503]

Thanks for handling this so quickly 👍

[adam-r-kowalski]

Happy to help — and thanks for validating. I opened #724 for the follow-up behavior we found.