Fixes https://github.com/spring-projects/spring-integration/issues/3675 The `WebSocketInboundChannelAdapter` removes a `SimpMessageHeaderAccessor.NATIVE_HEADERS` from headers used to create an outbound message. Turns out not all native headers are mapped by the `StompHeaderAccessor` to the top-level header entries. **Cherry-pick to `5.4.x` & `5.3.x`**